Estimation And Hypothesis Testing Two | Exam Questions Ch.10

Introductory Statistics, 10e (Mann)

Chapter 10 Estimation and Hypothesis Testing: Two Populations

10.1 Inferences About the Difference Between Two Population Means for Independent Samples: (σ) with subscript (1) and (σ) with subscript (2) Known

1) Suppose the following information is obtained from two independent samples selected from normally distributed populations.

= 14	= 30	= 3.2
= 17	= 28	= 3.4

What is the point estimate of μ1 - μ2?

Diff: 1

LO: 10.1.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are known.

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 001

2) Suppose the following information is obtained from two independent samples selected from normally distributed populations.

= 14	= 30	= 3.3
= 18	= 28	= 3.3

Construct a 95% confidence interval for μ1 - μ2, Rounded to three decimal places.

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 002

3) Suppose the following information is obtained from two independent samples selected from normally distributed populations.

= 13	= 31	= 3.3
= 17	= 28	= 3.4

Find the margin of error for the 95% confidence interval.

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 003

4) Two samples drawn from two populations are independent if:

A) the selection of one sample from a population is not related to the selection of the second sample from the same population

B) the selection of one sample from one population does not affect the selection of the second sample from the second population

C) the selection of one sample from a population is related to the selection of the second sample from the same population

D) two samples selected from the same population have no relation

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 004

5) Two samples drawn from two populations are dependent if:

A) the selection of one sample from a population is not related to the selection of the second sample from the same population

B) the selection of one sample from one population is not related to the selection of the second sample from the second population

C) for each data value collected from one sample there corresponds another data value collected from the second sample and both data values are collected from the same source

D) two samples selected from the same population have no relation

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 005

6) The mean G.P.A (grade point average) of all male students at a college is 2.66 and the mean G.P.A of all female students at the same college is 2.98. The standard deviations of the G.P.As are 0.39 for the males and 0.35 for the females. Suppose we take one sample of 29 male students and another sample of 36 female students from this college. Assume the populations are normally distributed. What is the mean, rounded to two decimal places, of the sampling distribution of the difference between the mean G.P.As for males and females?

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 006

7) The mean G.P.A (grade point average) of all male students at a college is 2.63 and the mean G.P.A of all female students at the same college is 2.90. The standard deviations of the G.P.As are 0.36 for the males and 0.34 for the females. Suppose we take one sample of 42 male students and another sample of 46 female students from this college. Assume the populations are normally distributed. What is the standard deviation of the sampling distribution of the difference between the mean G.P.As for males and females, rounded to four decimal places?

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 007

8) The mean weekly earnings of all female workers in a state is $776 and the mean weekly earnings of all male workers in the same state is $721. The standard deviations of the weekly earnings are $88 for the females and $99 for the males. Suppose we take one sample of 322 female workers and another sample of 292 male workers from this state. What is the mean of the sampling distribution of the difference between the mean weekly earnings for females and males?

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 008

9) The mean weekly earnings of all female workers in a state is $703 and the mean weekly earnings of all male workers in the same state is $794. The standard deviations of the weekly earnings are $77 for the females and $113 for the males. Suppose we take one sample of 333 female workers and another sample of 309 male workers from this state. What is the standard deviation of the sampling distribution of the difference between the mean weekly earnings for females and males, rounded to two decimal places?

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 009

10) The mean job-related stress score for all corporate managers is 7.90 and the mean job-related stress score for all college professors is 5.50. The population standard deviations of the job-related stress scores are 0.54 for the corporate managers and 1.02 for the college professors. Suppose we take one sample of 180 corporate managers and another sample of 236 college professors. What is the mean, rounded to two decimal places, of the sampling distribution of the difference between the mean stress scores for corporate managers and college professors?

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 010

11) The mean job-related stress score for all corporate managers is 8.20 and the mean job-related stress score for all college professors is 5.25. The population standard deviations of the job-related stress scores are 0.59 for the corporate managers and 0.97 for the college professors. Suppose we take one sample of 209 corporate managers and another sample of 235 college professors. What is the standard deviation of the sampling distribution of the difference between the mean stress scores for corporate managers and college professors, rounded to four decimal places?

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 011

12) A sample of 52 female workers and another sample of 74 male workers from a state produced mean weekly earnings of $735.83 for the females and $771.21 for the males. Suppose that the population standard deviations of the weekly earnings are $80.23 for the females and $84.29 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Derive the corresponding 95% confidence interval, rounded to two decimal places, for the difference between the mean weekly earnings for all female and male workers in this state.

A) -64.44 to -6.32

B) -69.92 to -0.84

C) -73.63 to 2.87

D) -59.84 to -10.92

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 012

13) A sample of 80 female workers and another sample of 53 male workers from a state produced mean weekly earnings of $730.73 for the females and $775.09 for the males. Suppose that the population standard deviations of the weekly earnings are $84.36 for the females and $100.89 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. The significance level for the test is 1%. What is the critical value of z?

A) -2.58

B) -1.96

C) -2.33

D) -2.17

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 013

14) A sample of 80 female workers and another sample of 68 male workers from a state produced mean weekly earnings of $739.50 for the females and $769.95 for the males. Suppose that the population standard deviations of the weekly earnings are $82.28 for the females and $89.02 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. What is the value of the test statistic, rounded to three decimal places?

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 014

15) A sample of 47 female workers and another sample of 73 male workers from a state produced mean weekly earnings of $727.01 for the females and $771.02 for the males. Suppose that the population standard deviations of the weekly earnings are $84.44 for the females and $94.02 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. What is the p-value for this test, rounded to four decimal places?

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 015

16) A sample of 48 female workers and another sample of 64 male workers from a state produced mean weekly earnings of $742.77 for the females and $768.03 for the males. Suppose that the population standard deviations of the weekly earnings are $74.46 for the females and $86.31 for the males. The null hypothesis is that the mean weekly earnings are the same for females and males, while the alternative hypothesis is that the mean weekly earnings for females is less than the mean weekly earnings for males. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 016

17) A sample of 48 male students and another sample of 50 female students from the same college produced mean GPAs of 2.67 for the males and 2.92 for the females. Suppose that the population standard deviations of the GPAs are 48 for the males and 50 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. Derive the corresponding 99% confidence interval for the difference between the mean GPAs for all male and female students at this college, rounded to three decimal places.

A) -0.585 to 0.085

B) -0.552 to 0.052

C) -0.504 to 0.004

D) -0.464 to -0.036

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 017

18) A sample of 44 male students and another sample of 44 female students from the same college produced mean GPAs of 2.59 for the males and 2.93 for the females. Suppose that the population standard deviations of the GPAs are 44 for the males and 44 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. The significance level for the test is 2.5%. What is the critical value of z?

A) -2.58

B) -1.96

C) -2.33

D) -1.65

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 018

19) A sample of 33 male students and another sample of 30 female students from the same college produced mean GPAs of 2.68 for the males and 2.91 for the females. Suppose that the population standard deviations of the GPAs are 33 for the males and 30 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. What is the value of the test statistic, rounded to three decimal places?

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 019

20) A sample of 31 male students and another sample of 41 female students from the same college produced mean GPAs of 2.67 for the males and 2.88 for the females. Suppose that the population standard deviations of the GPAs are 31 for the males and 41 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. What is the p-value for this test, rounded to four decimal places?

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 020

21) A sample of 39 male students and another sample of 35 female students from the same college produced mean GPAs of 2.65 for the males and 2.87 for the females. Suppose that the population standard deviations of the GPAs are 39 for the males and 35 for the females. The null hypothesis is that the mean GPAs are the same for males and females, while the alternative hypothesis is that the mean GPA for males is less than the mean GPA for females. Do you reject or fail to reject the null hypothesis at the 2.5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 021

22) A sample of 149 corporate managers and another sample of 154 college professors produced mean job-related stress scores of 7.40 for the managers and 6.85 for the professors. Suppose that the population standard deviations of the stress scores are 1.10 for the managers and 1.82 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. Derive the corresponding 90% confidence interval for the difference between the mean stress scores for all corporate managers and college professors, rounded to three decimal places.

A) 0.266 to 0.834

B) 0.213 to 0.887

C) 0.149 to 0.951

D) 0.106 to 0.994

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 022

23) A sample of 127 corporate managers and another sample of 141 college professors produced mean job-related stress scores of 7.22 for the managers and 6.78 for the professors. Suppose that the population standard deviations of the stress scores are 1.37 for the managers and 1.85 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. The significance level for the test is 1%. What are the critical values of z?

A) -2.58 and 2.58

B) -1.96 and 1.96

C) -2.33 and 2.33

D) -3.09 and 3.09

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 023

24) A sample of 120 corporate managers and another sample of 158 college professors produced mean job-related stress scores of 7.26 for the managers and 6.79 for the professors. Suppose that the population standard deviations of the stress scores are 1.14 for the managers and 1.84 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. What is the value of the test statistic, rounded to three decimal places?

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 024

25) A sample of 130 corporate managers and another sample of 156 college professors produced mean job-related stress scores of 7.26 for the managers and 6.90 for the professors. Suppose that the population standard deviations of the stress scores are 1.13 for the managers and 1.71 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. What is the p-value for this test, rounded to four decimal places?

Diff: 2

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 025

26) A sample of 130 corporate managers and another sample of 168 college professors produced mean job-related stress scores of 7.36 for the managers and 7.01 for the professors. Suppose that the population standard deviations of the stress scores are 1.34 for the managers and 1.85 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

Section: 10.1 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Known

Question Title: Chapter 10, Testbank Question 026

10.2 Inferences About the Difference Between Two Population Means for Independent Samples: (σ) with subscript (1) and (σ) with subscript (2) Unknown but Equal

1) A sample of 20 from a population produced a mean of 65.9 and a standard deviation of 8.5. A sample of 25 from another population produced a mean of 60.9 and a standard deviation of 11.5. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What is the pooled standard deviation of the two samples, rounded to three decimal places?

Diff: 2

LO: 10.2.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown but equal.

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 027

2) A sample of 20 from a population produced a mean of 64.5 and a standard deviation of 9.4. A sample of 25 from another population produced a mean of 58.1 and a standard deviation of 12.3. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 028

3) A sample of 20 from a population produced a mean of 66.9 and a standard deviation of 8.1. A sample of 25 from another population produced a mean of 59.5 and a standard deviation of 11.8. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

Derive the corresponding 95% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) 1.149 to 13.651

B) 1.159 to 13.641

C) 2.191 to 12.609

D) 2.197 to 12.603

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 029

4) A sample of 20 from a population produced a mean of 66.4 and a standard deviation of 8.7. A sample of 25 from another population produced a mean of 59.5 and a standard deviation of 12.6. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What are the critical values of t for the hypothesis test?

A) -2.014 and 2.014

B) -2.017 and 2.017

C) -1.681 and 1.681

D) -1.679 and 1.679

Diff: 1

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 030

5) A sample of 20 from a population produced a mean of 65.4 and a standard deviation of 9.6. A sample of 25 from another population produced a mean of 59.1 and a standard deviation of 12.6. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 031

6) A sample of 20 from a population produced a mean of 66.9 and a standard deviation of 9.3. A sample of 25 from another population produced a mean of 58.7 and a standard deviation of 12.7. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 032

7) A sample of 20 from a population produced a mean of 65.0 and a standard deviation of 9.6. A sample of 25 from another population produced a mean of 60.0 and a standard deviation of 12.6. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different.

Do you reject or fail to reject the null hypothesis at the 5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 033

8) A sample of 16 from a population produced a mean of 84.3 and a standard deviation of 14.4. A sample of 18 from another population produced a mean of 73.0 and a standard deviation of 15.3. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the pooled standard deviation of the two samples, rounded to three decimal places?

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 034

9) A sample of 16 from a population produced a mean of 83.6 and a standard deviation of 12.5. A sample of 18 from another population produced a mean of 74.7 and a standard deviation of 15.9. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 035

10) A sample of 16 from a population produced a mean of 865 and a standard deviation of 140. A sample of 18 from another population produced a mean of 743 and a standard deviation of 169. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

Derive the corresponding 99% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -24.832 to 268.832

B) -9.333 to 253.333

C) -8.904 to 252.904

D) -24.564 to 268.564

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 036

11) A sample of 16 from a population produced a mean of 87.5 and a standard deviation of 14.7. A sample of 18 from another population produced a mean of 71.6 and a standard deviation of 16.9. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the critical value of t for the hypothesis test?

A) 2.738

B) 2.449

C) 2.441

D) 2.733

Diff: 1

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 037

12) A sample of 16 from a population produced a mean of 85.0 and a standard deviation of 15.0. A sample of 18 from another population produced a mean of 75.1 and a standard deviation of 16.5. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 038

13) A sample of 16 from a population produced a mean of 85.2 and a standard deviation of 13.3. A sample of 18 from another population produced a mean of 73.8 and a standard deviation of 15.1. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 039

14) A sample of 16 from a population produced a mean of 86.7 and a standard deviation of 13.2. A sample of 18 from another population produced a mean of 76 and a standard deviation of 15.4. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 1%.

Do you reject or fail to reject the null hypothesis at the 1% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 040

15) A sample of 27 from a population produced a mean of 75.2 and a standard deviation of 8.2. A sample of 22 from another population produced a mean of 79.9 and a standard deviation of 7.8. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the pooled standard deviation of the two samples, rounded to three decimal places?

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 041

16) A sample of 27 from a population produced a mean of 75.2 and a standard deviation of 8.3. A sample of 22 from another population produced a mean of 79.4 and a standard deviation of 6.0. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 042

17) A sample of 27 from a population produced a mean of 74.7 and a standard deviation of 7.2. A sample of 22 from another population produced a mean of 78.5 and a standard deviation of 6.2. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

Derive the corresponding 90% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -7.063 to -0.537

B) -5.757 to -1.843

C) -6.410 to -1.190

D) -7.009 to -0.575

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 043

18) A sample of 27 from a population produced a mean of 75.1 and a standard deviation of 7.0. A sample of 22 from another population produced a mean of 79.4 and a standard deviation of 8.0. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the critical value of t for the hypothesis test?

A) -2.012

B) -2.009

C) -2.685

D) -1.678

Diff: 1

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 044

19) A sample of 27 from a population produced a mean of 74.7 and a standard deviation of 7.4. A sample of 22 from another population produced a mean of 79.9 and a standard deviation of 6.0. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 045

20) A sample of 27 from a population produced a mean of 74.3 and a standard deviation of 7.6. A sample of 22 from another population produced a mean of 80 and a standard deviation of 7.7. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Diff: 2

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 046

21) A sample of 27 from a population produced a mean of 74.6 and a standard deviation of 8.2. A sample of 22 from another population produced a mean of 79.1 and a standard deviation of 6.3. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 2.5%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

Section: 10.2 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Equal

Question Title: Chapter 10, Testbank Question 047

10.3 Inferences About the Difference Between Two Population Means for Independent Samples: (σ) with subscript (1) and (σ) with subscript (2) Unknown and Unequal

1) A sample of 14 from a population produced a mean of 56.9 and a standard deviation of 7. A sample of 20 from another population produced a mean of 50.7 and a standard deviation of 10. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What is the number of degrees of freedom of the t distribution to make a confidence interval for the difference between the two population means?

Diff: 2

LO: 10.3.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population means from independent random samples when the population standard deviations are unknown and unequal.

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 048

2) A sample of 14 from a population produced a mean of 55.8 and a standard deviation of 7. A sample of 20 from another population produced a mean of 51.5 and a standard deviation of 10. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 049

3) A sample of 14 from a population produced a mean of 54.9 and a standard deviation of 7. A sample of 20 from another population produced a mean of 50.9 and a standard deviation of 10. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

Derive the corresponding 90% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -0.945 to 8.945

B) -1.948 to 9.948

C) -1.907 to 9.907

D) -1.962 to 9.962

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 050

4) A sample of 14 from a population produced a mean of 56.9 and a standard deviation of 7. A sample of 20 from another population produced a mean of 51.9 and a standard deviation of 10. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What are the critical values of t for the hypothesis test?

A) -2.040 and 2.040

B) -1.696 and 1.696

C) -2.026 and 2.026

D) -2.045 and 2.045

Diff: 1

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 051

5) A sample of 14 from a population produced a mean of 56.6 and a standard deviation of 7. A sample of 20 from another population produced a mean of 52.1 and a standard deviation of 10. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 052

6) A sample of 14 from a population produced a mean of 57 and a standard deviation of 7. A sample of 20 from another population produced a mean of 50.6 and a standard deviation of 10. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 053

7) A sample of 14 from a population produced a mean of 55 and a standard deviation of 7. A sample of 20 from another population produced a mean of 51.4 and a standard deviation of 10. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 10%.

Do you reject or fail to reject the null hypothesis at the 10% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 054

8) A sample of 12 from a population produced a mean of 86.5 and a standard deviation of 16. A sample of 16 from another population produced a mean of 74.3 and a standard deviation of 14. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the number of degrees of freedom of the t distribution to make a confidence interval for the difference between the two population means?

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 055

9) A sample of 12 from a population produced a mean of 85.9 and a standard deviation of 16. A sample of 16 from another population produced a mean of 75.6 and a standard deviation of 14. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 056

10) A sample of 12 from a population produced a mean of 84.2 and a standard deviation of 16. A sample of 16 from another population produced a mean of 72.5 and a standard deviation of 14. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

Derive the corresponding 99% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -4.706 to 28.106

B) -0.354 to 23.754

C) -1.739 to 25.139

D) -1.693 to 25.093

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 057

11) A sample of 12 from a population produced a mean of 83.0 and a standard deviation of 16. A sample of 16 from another population produced a mean of 71.7 and a standard deviation of 14. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the critical value of t for the hypothesis test?

A) 2.319

B) 2.311

C) 1.997

D) 2.080

Diff: 1

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 058

12) A sample of 12 from a population produced a mean of 86.2 and a standard deviation of 16. A sample of 16 from another population produced a mean of 74.0 and a standard deviation of 14. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 059

13) A sample of 12 from a population produced a mean of 83.6 and a standard deviation of 0.0346. A sample of 16 from another population produced a mean of 72.5 and a standard deviation of 0. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 060

14) A sample of 12 from a population produced a mean of 87.1 and a standard deviation of 0. A sample of 16 from another population produced a mean of 75.0 and a standard deviation of 0. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance level is 2.5%.

Do you reject or fail to reject the null hypothesis at the 2.5% significance level? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 061

15) A sample of 16 from a population produced a mean of 30.3 and a standard deviation of 4. A sample of 18 from another population produced a mean of 33.0 and a standard deviation of 3. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the number of degrees of freedom of the t distribution to make a confidence interval for the difference between the two population means?

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 062

16) A sample of 16 from a population produced a mean of 31.1 and a standard deviation of 4. A sample of 18 from another population produced a mean of 33.0 and a standard deviation of 3. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the standard deviation of the sampling distribution of the difference between the means of these two samples, rounded to three decimal places?

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 063

17) A sample of 16 from a population produced a mean of 30.9 and a standard deviation of 4. A sample of 18 from another population produced a mean of 32.5 and a standard deviation of 3. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

Derive the corresponding 95% confidence interval for the difference between the means of these two populations, rounded to three decimal places.

A) -4.113 to 0.913

B) -4.147 to 0.947

C) -4.308 to 1.108

D) -4.570 to 1.370

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 064

18) A sample of 16 from a population produced a mean of 30.4 and a standard deviation of 4. A sample of 18 from another population produced a mean of 33.8 and a standard deviation of 3. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the critical value of t for the hypothesis test?

A) -2.473

B) -2.080

C) -2.211

D) -2.425

Diff: 1

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 065

19) A sample of 16 from a population produced a mean of 30.1 and a standard deviation of 4. A sample of 18 from another population produced a mean of 33.6 and a standard deviation of 3. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 066

20) A sample of 16 from a population produced a mean of 29.9 and a standard deviation of 4. A sample of 18 from another population produced a mean of 32.5 and a standard deviation of 3. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Diff: 2

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 067

21) A sample of 16 from a population produced a mean of 30.2 and a standard deviation of 4. A sample of 18 from another population produced a mean of 32.5 and a standard deviation of 3. Assume that the two populations are normally distributed and the standard deviations of the two populations are not equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is less than the mean of the second population. The significance level is 1%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

Section: 10.3 Inferences About the Difference Between Two Population Means for Independent Samples: σ1 and σ2 Unknown but Unequal

Question Title: Chapter 10, Testbank Question 068

10.4 Inferences About the Mean of Paired Samples (Dependent Samples)

1) Two paired or matched samples would imply that:

A) data are collected on one variable from the elements of two independent samples

B) two data values are collected from the same source (elements) for two dependent samples

C) two data values are collected from the same source (elements) for two independent samples

D) data are collected on two variables from the elements of two independent samples

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 069

2) For two paired samples with sample size of n, the degrees of freedom are:

A) 2n - 1

B) 2n - 2

C) n - 1

D) n - 2

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 070

3) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions. The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before	After
7.5	4.3
6.4	5.1
6.4	6.2
9.4	6.9
7.8	7.2

Let the paired difference be the score before minus the score after attending the counseling sessions. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., attending the counseling sessions does not change the insomnia score). The alternative hypothesis is that the mean of the population paired differences is not equal to zero (i.e., attending the counseling sessions does change the insomnia score). The significance level is 5%.

What is the mean of the sample paired differences, rounded to two decimal places?

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 071

4) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions. The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before	After
7.5	4.3
6.4	5.1
7.0	6.2
9.0	6.9
7.8	7.2

What is the standard deviation of the paired differences, rounded to three decimal places?

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 072

5) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions. The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before	After
7.5	4.3
6.4	5.1
6.4	6.2
8.8	6.9
7.8	7.2

What is the standard deviation of the mean of the sample paired differences, rounded to three decimal places?

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 073

6) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions. The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before	After
7.5	4.3
6.4	5.1
6.6	6.2
9.7	6.9
7.8	7.2

Calculate the 95% confidence interval for the mean of the population paired differences that corresponds to these data, rounded to two decimal places.

A) 0.07 to 3.25

B) 0.19 to 3.13

C) 0.44 to 2.88

D) 0.51 to 2.81

Diff: 2

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 074

7) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions. The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before	After
7.5	4.3
6.4	5.1
7.1	6.2
9.2	6.9
7.8	7.2

What are the critical values of t for the hypothesis test?

A) -2.776 and 2.776

B) -2.571 and 2.571

C) -2.132 and 2.132

D) -2.015 and 2.015

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 075

8) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions. The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before	After
7.5	4.3
6.4	5.1
6.5	6.2
8.3	6.9
7.8	7.2

What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 076

9) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions. The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before	After
7.5	4.3
6.4	5.1
6.4	6.2
7.7	6.9
7.8	7.2

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Diff: 2

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 077

10) Five persons, who were suffering from insomnia, attended 10 one-hour counseling sessions. The following table gives the depression scores (on a scale of 1 to 10) of these five persons before and after attending the counseling sessions. Note that a higher score means that a person has a worse case of insomnia.

Before	After
7.5	4.3
6.4	5.1
6.4	6.2
9.1	6.9
7.8	7.2

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 078

11) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before	After
57	41
73	65
55	28
84	73
79	61
39	32

Let the paired difference be the number of crimes before minus the number of crimes after the city launched the neighborhood watch program. The null hypothesis is that the mean of the population paired differences is equal to zero (i.e., the neighborhood watch program does not affect the number of crimes). The alternative hypothesis is that the mean of the population paired differences is greater than zero (i.e., the neighborhood watch program decreases the number of crimes). The significance level is 1%.

What is the mean of the sample paired differences, rounded to two decimal places?

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 079

12) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before	After
57	41
73	65
57	28
76	73
79	61
39	32

What is the standard deviation of the paired differences, rounded to three decimal places?

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 080

13) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before	After
57	41
73	65
48	28
85	73
79	61
39	32

What is the standard deviation of the mean of the sample paired differences, rounded to three decimal places?

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 081

14) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before	After
57	41
73	65
49	28
70	73
79	61
39	32

Calculate the 99% confidence interval for the mean of the population paired differences that corresponds to these data, rounded to two decimal places.

A) -3.46 to 25.79

B) -1.04 to 23.37

C) -2.43 to 24.76

D) -0.24 to 22.57

Diff: 2

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 082

15) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before	After
57	41
73	65
57	28
73	73
79	61
39	32

What are the critical values of t for the hypothesis test?

A) 3.143

B) 3.365

C) 3.747

D) 4.032

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 083

16) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before	After
57	41
73	65
50	28
72	73
79	61
39	32

What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 084

17) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before	After
57	41
73	65
55	28
80	73
79	61
39	32

What is the p-value for this test, rounded to four decimal places? Find the p-value for this hypothesis test, rounded to four decimal places, using any technology such as TI-84 calculator.

Diff: 2

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 085

18) A city recently launched a neighborhood watch program to control crime. The following table gives the number of crimes reported in six neighborhoods during the six months before and six months after the city launched the neighborhood watch program.

Before	After
57	41
73	65
49	28
82	73
79	61
39	32

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 10.4.0 Demonstrate an understanding of estimation and hypothesis testing procedures for a mean difference from paired (dependent) samples.

Section: 10.4 Inferences About the Difference Between Two Population Means for Paired Samples

Question Title: Chapter 10, Testbank Question 086

10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

1) The proportion of elements in a population that possess a certain characteristic is 0.69. The proportion of elements in another population that possess the same characteristic is 0.74. You select samples of 167 and 384 elements, respectively, from the first and second populations.

What is the mean of the sampling distribution of the difference between the two sample proportions, rounded to two decimal places?

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 087

2) The proportion of elements in a population that possess a certain characteristic is 0.66. The proportion of elements in another population that possess the same characteristic is 0.79. You select samples of 215 and 336 elements, respectively, from the first and second populations.

What is the standard deviation of the sampling distribution of the difference between the two sample proportions, rounded to four decimal places?

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 088

3) The proportion of elements in a population that possess a certain characteristic is 0.50. The proportion of elements in another population that possess the same characteristic is 0.39. You select samples of 1030 and 811 elements, respectively, from the first and second populations.

What is the mean of the sampling distribution of the difference between the two sample proportions, reported to two decimal places?

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 089

4) The proportion of elements in a population that possess a certain characteristic is 0.48. The proportion of elements in another population that possess the same characteristic is 0.36. You select samples of 1016 and 909 elements, respectively, from the first and second populations.

What is the standard deviation of the sampling distribution of the difference between the two sample proportions, rounded to four decimal places?

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 090

5) A sample of 505 school teachers, who are married, showed that 217 of them hold a second job to supplement their incomes. Another sample of 375 school teachers, who are single, showed that 139 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What is the 95% confidence interval for the difference between the proportions of married and single school teachers who hold a second job to supplement their income, rounded to four decimal places?

A) -0.0062 to 0.1243

B) -0.0066 to 0.1318

C) -0.0060 to 0.1193

D) -0.0072 to 0.1442

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 091

6) A sample of 488 school teachers, who are married, showed that 201 of them hold a second job to supplement their incomes. Another sample of 377 school teachers, who are single, showed that 131 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What are the critical values of z for the hypothesis test?

A) -2.33 and 2.33

B) -1.65 and 1.65

C) -2.17 and 2.17

D) -1.96 and 1.96

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 092

7) A sample of 521 school teachers, who are married, showed that 224 of them hold a second job to supplement their incomes. Another sample of 382 school teachers, who are single, showed that 127 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What is the value of the pooled sample proportion, rounded to four decimal places?

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 093

8) A sample of 506 school teachers, who are married, showed that 201 of them hold a second job to supplement their incomes. Another sample of 397 school teachers, who are single, showed that 140 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 094

9) A sample of 522 school teachers, who are married, showed that 226 of them hold a second job to supplement their incomes. Another sample of 418 school teachers, who are single, showed that 141 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

What is the p-value for this test, rounded to four decimal places?

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 095

10) A sample of 481 school teachers, who are married, showed that 201 of them hold a second job to supplement their incomes. Another sample of 407 school teachers, who are single, showed that 147 of them hold a second job to supplement their incomes. The null hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are not different. The alternative hypothesis is that the proportions of married and single school teachers who hold a second job to supplement their incomes are different. The significance level is 5%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 096

11) According to a Louis Harris survey, 511 in a sample of 1020 female drivers reported that they never speed, while 568 in a sample of 1245 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the 99% confidence interval for the difference between the proportions of female and male drivers who state that they never speed, rounded to four decimal places?

A) -0.0096 to 0.0991

B) -0.0104 to 0.1070

C) -0.0090 to 0.0932

D) -0.0110 to 0.1140

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 097

12) According to a Louis Harris survey, 515 in a sample of 1010 female drivers reported that they never speed, while 511 in a sample of 1151 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the critical value of z for the hypothesis test?

A) 2.33

B) 2.05

C) 2.17

D) 2.58

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 098

13) According to a Louis Harris survey, 484 in a sample of 964 female drivers reported that they never speed, while 540 in a sample of 1180 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the value of the pooled sample proportion, rounded to four decimal places?

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 099

14) According to a Louis Harris survey, 514 in a sample of 1013 female drivers reported that they never speed, while 533 in a sample of 1163 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 100

15) According to a Louis Harris survey, 494 in a sample of 953 female drivers reported that they never speed, while 518 in a sample of 1162 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

What is the p-value for this test, rounded to four decimal places?

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 101

16) According to a Louis Harris survey, 512 in a sample of 1034 female drivers reported that they never speed, while 534 in a sample of 1207 male drivers report that they never speed. The null hypothesis is that the proportions of all female and male drivers who never speed are the same. The alternative hypothesis is that the proportion of female drivers who never speed is higher than the proportion of male drivers who never speed. The significance level is 1%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 102

17) In a survey regarding job satisfaction, 539 in a sample of 852 female job-holders stated that they are satisfied with their jobs, while 529 in a sample of 799 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the 97% confidence interval for the difference between the proportions of all female and all male job-holders who will say that they are satisfied with their job, rounded to four decimal places?

A) -0.0805 to 0.0216

B) -0.0869 to 0.0233

C) -0.0757 to 0.0203

D) -0.0708 to 0.0190

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 103

18) In a survey regarding job satisfaction, 566 in a sample of 892 female job-holders stated that they are satisfied with their jobs, while 543 in a sample of 796 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the critical value of z for the hypothesis test?

A) -1.96

B) -2.17

C) -2.33

D) -2.05

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 104

19) In a survey regarding job satisfaction, 575 in a sample of 941 female job-holders stated that they are satisfied with their jobs, while 511 in a sample of 762 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the value of the pooled sample proportion, rounded to four decimal places?

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 105

20) In a survey regarding job satisfaction, 534 in a sample of 859 female job-holders stated that they are satisfied with their jobs, while 533 in a sample of 779 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 106

21) In a survey regarding job satisfaction, 547 in a sample of 859 female job-holders stated that they are satisfied with their jobs, while 523 in a sample of 767 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

What is the p-value for this test, rounded to four decimal places?

Diff: 2

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 107

22) In a survey regarding job satisfaction, 521 in a sample of 852 female job-holders stated that they are satisfied with their jobs, while 538 in a sample of 814 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.

Do you reject or fail to reject the null hypothesis? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 10.5.0 Demonstrate an understanding of the fundamentals of estimation and hypothesis testing about the difference between two population proportions using large and independent random samples.

Section: 10.5 Inferences About the Difference Between Two Population Proportions for Large and Independent Samples

Question Title: Chapter 10, Testbank Question 108

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Chapter 10 Estimation And Hypothesis Testing Two Populations

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