Test Questions & Answers Ch9 Hypothesis Tests About The Mean

Introductory Statistics, 10e (Mann)

Chapter 9 Hypothesis Tests About the Mean and Proportion

9.1 Hypothesis Tests: An Introduction

1) The null hypothesis is a claim about a:

A) parameter, where the claim is assumed to be false until it is declared true

B) parameter, where the claim is assumed to be true until it is declared false

C) statistic, where the claim is assumed to be false until it is declared true

D) statistic, where the claim is assumed to be true until it is declared false

Diff: 2

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 001

2) The alternative hypothesis is a claim about a:

A) parameter, where the claim is assumed to be true until it is declared false

B) parameter, where this claim is assumed to be true if the null hypothesis is declared false

C) statistic, where the claim is assumed to be true if the null hypothesis is declared false

D) statistic, where the claim is assumed to be false until it is declared true

Diff: 2

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 002

3) In a one-tailed hypothesis test, a critical point is a point that divides the area under the sampling distribution of a:

A) statistic into one rejection region and one nonrejection region

B) parameter into one rejection region and one nonrejection region

C) statistic into one rejection region and two nonrejection regions

D) parameter into two rejection regions and one nonrejection region

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 003

4) In a two-tailed hypothesis test, the two critical points are the points that divide the area under the sampling distribution of a:

A) statistic into two rejection regions and one nonrejection region

B) parameter into one rejection region and one nonrejection region

C) statistic into one rejection region and two nonrejection regions

D) parameter into two rejection regions and one nonrejection region

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 004

5) In a hypothesis test, a Type I error occurs when:

A) a false null hypothesis is rejected

B) a true null hypothesis is not rejected

C) a false null hypothesis is not rejected

D) a true null hypothesis is rejected

Diff: 2

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 005

6) In a hypothesis test, a Type II error occurs when:

A) a false null hypothesis is rejected

B) a true null hypothesis is not rejected

C) a false null hypothesis is not rejected

D) a true null hypothesis is rejected

Diff: 2

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 006

7) In a hypothesis test, the probability of committing a Type I error is called the:

A) confidence level

B) confidence interval

C) significance level

D) beta error

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 007

8) A one-tailed hypothesis test contains:

A) one rejection region and two nonrejection regions

B) two rejection regions and one nonrejection region

C) two rejection regions and two nonrejection regions

D) one rejection region and one nonrejection region

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 008

9) A two-tailed hypothesis test contains:

A) one rejection region and two nonrejection regions

B) two rejection regions and one nonrejection region

C) two rejection regions and two nonrejection regions

D) one rejection region and one nonrejection region

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 009

10) In a left-tailed hypothesis test, the sign in the alternative hypothesis is:

A) not equal to (≠)

B) greater than (>)

C) less than (<)

D) less than or equal to (≤)

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 010

11) In a right-tailed hypothesis test, the sign in the alternative hypothesis is:

A) not equal to (≠)

B) greater than (>)

C) less than (<)

D) less than or equal to (≤)

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 011

12) In a two-tailed hypothesis test, the sign in the alternative hypothesis is:

A) not equal to (≠)

B) greater than (>)

C) less than (<)

D) less than or equal to (≤)

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 012

13) A researcher wants to test if the mean price of houses in an area is greater than $145,000. The alternative hypothesis for this example will be that the population mean is:

A) equal to $145,000

B) not equal to $145,000

C) greater than or equal to $145,000

D) greater than $145,000

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 013

14) A researcher wants to test if the mean price of houses in an area is greater than $145,000. The null hypothesis for this example will be that the population mean is:

A) less than $145,000

B) not equal to $145,000

C) less than or equal to $145,000

D) greater than $145,000

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 014

15) A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000. The alternative hypothesis for this example will be that the population mean is:

A) equal to $110,000

B) less than to $110,000

C) not equal to $110,000

D) greater than $110,000

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 015

16) A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000. The null hypothesis for this example will be that the population mean is:

A) equal to $110,000

B) less than to $110,000

C) not equal to $110,000

D) greater than $110,000

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 016

17) A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The alternative hypothesis for this example will be that the population mean is:

A) equal to 30 minutes

B) not equal to 30 minutes

C) less than or equal to 30 minutes

D) less than 30 minutes

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 017

18) A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The null hypothesis for this example will be that the population mean is:

A) greater than 30 minutes

B) not equal to 30 minutes

C) greater than or equal to 30 minutes

D) less than 30 minutes

Diff: 1

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 018

19) Which of the following statements describes a Type II error in hypothesis testing?

A) A court declares a defendant guilty, when he is actually innocent.

B) A scientist, trying to support a theory about the number of different species of animals in a particular country, declares the null hypothesis to be "there are 715 different species" when there are actually more than 800.

C) A statistician determines, through hypothesis testing, that the mean number of televisions per household in a certain community is 1.4, when it is actually greater than 1.4.

D) Through hypothesis testing, we find the alternative hypothesis to be true when it is actually false.

Diff: 3

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 019

20) The power of a hypothesis test is .96. Which of the following statements is true about this test?

A) The probability of a Type II error is .04.

B) The probability of a Type I error is .04.

C) The probability of a Type II error is .96.

D) The probability of a Type I error is .96.

Diff: 2

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 020

21) A study conducted in 2000 found that the mean number of children under 18 per household in a certain community was 1.7. A statistician is trying to determine whether this number has changed in the last 6 years. Which of the following sets of hypotheses is correct for this test?

A) : μ ≤ 1.7; : μ > 1.7

B) : μ ≥ 1.7; : μ < 1.7

C) : μ = 1.7; : μ ≠ 1.7

D) : μ > 1.7; : μ < 1.7

Diff: 2

LO: 9.1.0 Demonstrate an understanding of the fundamentals of hypothesis testing.

Section: 9.1 Hypothesis Tests: An Introduction

Question Title: Chapter 09, Testbank Question 021

9.2 Hypothesis Tests About μ: σ Known

1) The p-value is the:

A) largest significance level at which the null hypothesis can be rejected

B) largest significance level at which the alternative hypothesis can be rejected

C) smallest significance level at which the null hypothesis can be rejected

D) smallest significance level at which the alternative hypothesis can be rejected

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 022

2) For a one-tailed test, the p-value is:

A) the area under the curve between the mean and the observed value of the sample statistic

B) twice the area under the curve between the mean and the observed value of the sample statistic

C) the area under the curve beyond the value of the sample statistic on the side specified in the alternative hypothesis

D) twice the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 023

3) For a two-tailed test, the p-value is:

A) the area under the curve between the mean and the observed value of the sample statistic

B) twice the area under the curve between the mean and the observed value of the sample statistic

C) the area in the tail under the curve on the side which the sample statistic lies

D) twice the area in the tail under the curve on the side which the sample statistic lies

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 024

4) The following four steps must be taken to perform a hypothesis test using the p-value approach:

1. Calculate the p-value.

2. Select the distribution to use.

3. Make a decision.

4. State the null and alternative hypotheses and determine the significance level.

The correct order for performing these steps is:

A) 4, 1, 2, 3

B) 2, 3, 1, 4

C) 4, 2, 1, 3

D) 3, 2, 1, 4

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 025

5) A two-tailed hypothesis test using the normal distribution reveals that the area in the tail under the curve on the side which the sample statistic lies equals 0.016. Consequently, the p-value for this test equals:

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 026

6) The following five steps must be performed to conduct a hypothesis test using the critical-value approach:

1. Calculate the value of the test statistic.

2. Select the distribution to use.

3. Make a decision.

4. Determine the rejection and nonrejection regions.

5. State the null and alternative hypotheses and determine the significance level.

The correct order for performing these steps is:

A) 4, 1, 2, 3, 5

B) 5, 2, 4, 1, 3

C) 5, 4, 2, 1, 3

D) 5, 1, 2, 3, 4

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 027

7) After each team completes 100 games through the season, suppose that the batting average for all major league baseball players is 0.257 and the standard deviation is 0.038. The null hypothesis is that American League infielders average the same as all other major league players. A sample of 42 players taken from the American League reveals a mean batting average of 0.259. What is the value of the test statistic, z? (Round your answer to two decimal places.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 028

8) In a hypothesis test with the null and alternative hypotheses and a random sample of 33 elements selected from the population produced a mean of 61.2. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 029

9) In a hypothesis test with the null and alternative hypotheses and a random sample of 74 elements selected from the population produced a mean of 34.9. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 030

10) In a hypothesis test with the null and alternative hypotheses and a random sample of 116 elements selected from the population produced a mean of 128.3. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 031

11) In a hypothesis test with the null and alternative hypotheses and a random sample of 40 elements selected from the population produced a mean of 74.3. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 032

12) In a hypothesis test with the null and alternative hypotheses and a random sample of 102 elements selected from the population produced a mean of 137.3. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 033

13) In a hypothesis test with the null and alternative hypotheses and a random sample of 62 elements selected from the population produced a mean of 91.5. Assuming that what is the approximate p-value for this test? (Round your answer to four decimal places.)

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 034

14) In a hypothesis test with the null and alternative hypotheses and a random sample of 99 elements selected from the population produced a mean of 74.7. Assume that and that the test is to be made at the 1% significance level. What is the critical value of z?

A) 2.33

B) 2.58

C) -2.33

D) -2.58

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 035

15) In a hypothesis test with the null and alternative hypotheses and a random sample of 97 elements selected from the population produced a mean of 73.4. Assume that and that the test is to be made at the 1% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 036

16) In a hypothesis test with the null and alternative hypotheses and a random sample of 104 elements selected from the population produced a mean of 75.8. Assume that and that the test is to be made at the 2% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 037

17) In a hypothesis test with the null and alternative hypotheses and a random sample of 101 elements selected from the population produced a mean of 75.8. Assume that and that the test is to be made at the 3% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 038

18) In a hypothesis test with null and alternative hypotheses and a random sample of 60 elements selected from the population produced a mean of 46.2. Assume that and that the test is to be made at the 2.5% significance level. What is the critical value of z? What is the critical value of z?

A) -1.96

B) 1.65

C) 1.96

D) -1.65

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 039

19) In a hypothesis test with null and alternative hypotheses and a random sample of 61 elements selected from the population produced a mean of 47.1. Assume that and that the test is to be made at the 2.5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 040

20) In a hypothesis test with null and alternative hypotheses and a random sample of 61 elements selected from the population produced a mean of 47.3. Assume that and that the test is to be made at the 2.5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 041

21) In a hypothesis test with null and alternative hypotheses and a random sample of 61 elements selected from the population produced a mean of 47.2. Assume that and that the test is to be made at the 2.5% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 042

22) In a hypothesis test with hypotheses and a random sample of 36 elements selected from the population produced a mean of 22.3. Assume that and that the test is to be made at the 1% significance level. What are the critical values of z?

A) -2.07 and 2.07

B) -2.58 and 2.58

C) -2.33 and 2.33

D) -1.96 and 1.96

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 043

23) In a hypothesis test with hypotheses and a random sample of 39 elements selected from the population produced a mean of 22.8. Assume that and that the test is to be made at the 5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 044

24) In a hypothesis test with hypotheses and a random sample of 37 elements selected from the population produced a mean of 25.2. Assume that and that the test is to be made at the 1% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 045

25) In a hypothesis test with hypotheses and a random sample of 38 elements selected from the population produced a mean of 25.9. Assume that and that the test is to be made at the 2% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 046

26) In a hypothesis test with hypotheses : μ ≥ 136 and : μ < 136, a random sample of 77 elements selected from the population produced a mean of 133.3. Assume that and that the test is to be made at the 5% significance level. What is the critical value of z?

A) 1.96

B) -1.96

C) -1.645

D) 1.645

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 047

27) In a hypothesis test with hypotheses : μ ≥ 136 and : μ < 136, a random sample of 71 elements selected from the population produced a mean of 132.7. Assume that and that the test is to be made at the 5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 048

28) In a hypothesis test with hypotheses : μ ≥ 136 and : μ < 136, a random sample of 66 elements selected from the population produced a mean of 131.3. Assume that and that the test is to be made at the 1% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 049

29) In a hypothesis test with hypotheses : μ ≥ 136 and : μ < 136, a random sample of 65 elements selected from the population produced a mean of 132.4. Assume that and that the test is to be made at the 1% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 050

30) In a hypothesis test with hypotheses and , a random sample of 112 elements selected from the population produced a mean of 52.8. Assume that and that the test is to be made at the 2% significance level. What is the critical value of z?

A) 2.05

B) 2.33

C) -1.645

D) -2.33

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 051

31) In a hypothesis test with hypotheses and , a random sample of 124 elements selected from the population produced a mean of 55.9. Assume that and that the test is to be made at the 3% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 052

32) In a hypothesis test with hypotheses and , a random sample of 112 elements selected from the population produced a mean of 55.3. Assume that and that the test is to be made at the 2% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 053

33) In a hypothesis test with hypotheses and , a random sample of 130 elements selected from the population produced a mean of 53.1. Assume that and that the test is to be made at the 2% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 054

34) In a hypothesis test with hypotheses : μ = 90 and : μ ≠ 90, a random sample of 106 elements selected from the population produced a mean of 85.0. Assume that and that the test is to be made at the 5% significance level. What are the critical values of z?

A) -1.28 and 1.28

B) -1.645 and 1.645

C) -1.96 and 1.96

D) -2.33 and 2.33

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 055

35) In a hypothesis test with hypotheses : μ = 90 and : μ ≠ 90, a random sample of 106 elements selected from the population produced a mean of 92.2. Assume that and that the test is to be made at the 5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 056

36) In a hypothesis test with hypotheses : μ = 90 and : μ ≠ 90, a random sample of 107 elements selected from the population produced a mean of 88.4. Assume that and that the test is to be made at the 5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 057

37) In a hypothesis test with hypotheses : μ = 90 and : μ ≠ 90, a random sample of 104 elements selected from the population produced a mean of 93. Assume that and that the test is to be made at the 10% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 058

38) A researcher wants to test if the mean price of houses in an area is greater than $145,000. A random sample of 36 houses selected from the area produces a mean price of $149,000. Assume that and that the test is to be made at the 1% significance level. What is the critical value of z?

A) 2.33

B) 2.58

C) 1.96

D) 1.645

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 059

39) A researcher wants to test if the mean price of houses in an area is greater than $145,000. A random sample of 37 houses selected from the area produces a mean price of $149,900. Assume that and that the test is to be made at the 2% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 060

40) A researcher wants to test if the mean price of houses in an area is greater than $145,000. A random sample of 38 houses selected from the area produces a mean price of $148,700. Assume that and that the test is to be made at the 5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 061

41) A researcher wants to test if the mean price of houses in an area is greater than $145,000. A random sample of 33 houses selected from the area produces a mean price of $148,100. Assume that and that the test is to be made at the 3% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 062

42) A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 51 lawyers selected from the city reveals a mean annual salary of $113,500. Assume that and that the test is to be made at the 10% significance level. What are the critical values of z?

A) -1.88 and 1.88

B) -1.645 and 1.645

C) -1.28 and 1.28

D) -3.02 and 3.02

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 063

43) A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 47 lawyers selected from the city reveals a mean annual salary of $103,500. Assume that and that the test is to be made at the 2% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 064

44) A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 47 lawyers selected from the city reveals a mean annual salary of $117,000. Assume that and that the test is to be made at the 5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 065

45) A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 50 lawyers selected from the city reveals a mean annual salary of $113,500. Assume that and that the test is to be made at the 1% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 066

46) A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework. A random sample of 60 children from the school shows that they spend an average of 27.0 minutes per day on homework. Assume that minutes, and that the test is to be made at the 1% significance level. What is the critical value of z?

A) -2.06

B) -2.33

C) -2.58

D) -1.96

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 067

47) A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework. A random sample of 64 children from the school shows that they spend an average of 25.7 minutes per day on homework. Assume that minutes, and that the test is to be made at the 1% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 068

48) A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework. A random sample of 66 children from the school shows that they spend an average of 25.6 minutes per day on homework. Assume that minutes, and that the test is to be made at the 1% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 069

49) A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework. A random sample of 68 children from the school shows that they spend an average of 27.3 minutes per day on homework. Assume that minutes, and that the test is to be made at the 1% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.2.0 Perform a hypothesis test for the population mean when the population standard deviation is known.

Section: 9.2 Hypothesis Tests About μ : σ Known

Question Title: Chapter 09, Testbank Question 070

9.3 Hypothesis Tests About μ: σ Not Known

1) If the significance level of a hypothesis test is 5%, we will reject the null hypothesis if the p-value is

A) greater than 0.99

B) less than 0.005

C) less than 0.01

D) greater than 0.005

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 071

2) We use the t distribution to perform a hypothesis test about the population mean when:

A) the population from which the sample is drawn is approximately normal and the population standard deviation is known

B) the population from which the sample is drawn is not approximately normal and the population standard deviation is known

C) the population from which the sample is drawn is approximately normal or sample size is 30 or larger and the population standard deviation is unknown

D) the population from which the sample is drawn is not approximately normal and the population standard deviation is unknown

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 072

3) Which of the following conditions is not required to use the t distribution to perform a hypothesis test about a population mean?

A) The population from which the sample is drawn is approximately normal or sample size is 30 or larger

B) The population from which the sample is drawn has a t distribution

C) The population standard deviation is unknown

D) The sample does not have any extreme outliers

Diff: 2

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 073

4) In a hypothesis test with hypotheses and a random sample of 24 elements selected from the population produced a mean of 60.0 and a standard deviation of 14.9. The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the critical value of t?

A) 1.318

B) 1.28

C) -1.319

D) 1.319

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 074

5) In a hypothesis test with hypotheses and a random sample of 24 elements selected from the population produced a mean of 59.8 and a standard deviation of 14.2. The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 075

6) In a hypothesis test with hypotheses and a random sample of 24 elements selected from the population produced a mean of 59.7 and a standard deviation of 15.0. The test is to be made at the 10% significance level. Assume the population is normally distributed. What is the p-value for this hypothesis 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: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 076

7) In a hypothesis test with hypotheses and a random sample of 24 elements selected from the population produced a mean of 59.8 and a standard deviation of 13.0. The test is to be made at the 10% significance level. Assume the population is normally distributed. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 077

8) In a hypothesis test with hypotheses and a random sample of 16 elements selected from the population produced a mean of 91.5 and a standard deviation of 4.8. The test is to be made at the 5% significance level. Assume the population is normally distributed. What are the critical values of t?

A) -1.96 and 1.96

B) -2.131 and 2.131

C) -1.753 and 1.753

D) -2.120 and 2.120

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 078

9) In a hypothesis test with hypotheses and a random sample of 16 elements selected from the population produced a mean of 93.5 and a standard deviation of 4.5. The test is to be made at the 2% significance level. Assume the population is normally distributed. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 079

10) In a hypothesis test with hypotheses and a random sample of 16 elements selected from the population produced a mean of 88.3 and a standard deviation of 5.5. The test is to be made at the 1% significance level. Assume the population is normally distributed. What is the p-value for this hypothesis 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: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 080

11) In a hypothesis test with hypotheses and a random sample of 16 elements selected from the population produced a mean of 86.1 and a standard deviation of 5.7. The test is to be made at the 10% significance level. Assume the population is normally distributed. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 081

12) In a hypothesis test with hypotheses and a random sample of 20 elements selected from the population produced a mean of 70.2 and a standard deviation of 13.5. The significance level is 5%. Assume the population is normally distributed. What is the critical value of t?

A) -1.645

B) -1.725

C) -1.729

D) -2.093

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 082

13) In a hypothesis test with hypotheses and a random sample of 20 elements selected from the population produced a mean of 67.9 and a standard deviation of 11.8. The significance level is 10%. Assume the population is normally distributed. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 083

14) In a hypothesis test with hypotheses and a random sample of 20 elements selected from the population produced a mean of 69.2 and a standard deviation of 13.9. The significance level is 2.5%. Assume the population is normally distributed. What is the p-value for this hypothesis 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: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 084

15) In a hypothesis test with hypotheses and a random sample of 20 elements selected from the population produced a mean of 70 and a standard deviation of 12. The significance level is 1%. Assume the population is normally distributed. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 085

16) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1099 hours and a standard deviation of 159 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. What is the critical value of t?

A) -1.704

B) -1.711

C) -2.797

D) -2.787

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 086

17) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1071 hours and a standard deviation of 135 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 087

18) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1083 hours and a standard deviation of 174 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. What is the p-value for this hypothesis 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: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 088

19) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1096 hours and a standard deviation of 161 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 089

20) A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours. A sample of 25 light bulbs manufactured by this company gave a mean life of 1091 hours and a standard deviation of 195 hours. A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours. The significance level is 5%. Assume the population is normally distributed. Does the data provide evidence to contradict the company's claim about the average lifetime of their light bulbs? (State your answer as "no" or "yes", but don't include the quotation marks.)

Diff: 2

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 090

21) The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds. A sample of 41 commercials had a mean life of 26.90 seconds and a standard deviation of 7.32 seconds. The significance level is 5%. What are the critical values of t?

A) -1.683 and 1.683

B) -1.684 and 1.684

C) -2.020 and 2.020

D) -2.021 and 2.021

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 091

22) The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds. A sample of 41 commercials had a mean life of 26.75 seconds and a standard deviation of 7.10 seconds. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 092

23) The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds. A sample of 41 commercials had a mean life of 26.85 seconds and a standard deviation of 7.61 seconds. The significance level is 5%. What is the p-value for this hypothesis 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: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 093

24) The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds. A sample of 41 commercials had a mean life of 27.10 seconds and a standard deviation of 7.18 seconds. The significance level is 5%. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 094

25) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 47.5 pounds was collected, with a standard deviation of 9.2 pounds. The significance level is 2%. What is the critical value of t?

A) -1.803

B) -1.988

C) -2.133

D) -2.438

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 095

26) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 48.5 pounds was collected, with a standard deviation of 7.7 pounds. The significance level is 2%. What is the value of the test statistic, t, rounded to three decimal places?

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 096

27) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 46.0 pounds was collected, with a standard deviation of 8.1 pounds. The significance level is 2%. What is the p-value for this hypothesis 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: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 097

28) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 48.3 pounds was collected, with a standard deviation of 8.0 pounds. The significance level is 2%. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 098

29) Thousands of people nationwide are to take part in a Spring Clean-Up day along highways near their hometowns. The goal is to have individuals collect an average of 50 pounds (or more) of garbage. In a random sample of 36 people, an average of 46.8 pounds was collected, with a standard deviation of 7.6 pounds. The significance level is 2%. Does the data provide evidence to suggest that the goal is not being met? (State your answer as "no" or "yes", but don't include the quotation marks.)

Diff: 2

LO: 9.3.0 Perform a hypothesis test for the population mean when the population standard deviation is unknown.

Section: 9.3 Hypothesis Tests About μ : σ Not Known

Question Title: Chapter 09, Testbank Question 099

9.4 Hypothesis Tests About a Population Proportion: Large Samples

1) In a hypothesis test with hypotheses : p ≤ 0.39 and : p > 0.39, a random sample of size 510 produced a sample proportion of 0.4475. The test is to be made at the 1% significance level. What is the critical value of z?

A) 2.58

B) 2.33

C) 2.12

D) 2.72

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 100

2) In a hypothesis test with hypotheses : p ≤ 0.39 and : p > 0.39, a random sample of size 499 produced a sample proportion of 0.4500. The test is to be made at the 3% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 101

3) In a hypothesis test with hypotheses : p ≤ 0.39 and : p > 0.39, a random sample of size 504 produced a sample proportion of 0.4425. The test is to be made at the 10% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 102

4) In a hypothesis test with hypotheses : p ≤ 0.39 and : p > 0.39, a random sample of size 509 produced a sample proportion of 0.45. The test is to be made at the 10% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 103

5) In a hypothesis test with hypotheses and a random sample of size 1002 produced a sample proportion of 0.7205. The test is to be made at the 5% significance level. What is the critical value of z?

A) -2.05

B) -2.33

C) -1.96

D) -1.65

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 104

6) In a hypothesis test with hypotheses and a random sample of size 1012 produced a sample proportion of 0.7455. The test is to be made at the 5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 105

7) In a hypothesis test with hypotheses and a random sample of size 948 produced a sample proportion of 0.7480. The test is to be made at the 5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 106

8) In a hypothesis test with hypotheses and a random sample of size 998 produced a sample proportion of 0.7255. The test is to be made at the 5% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 107

9) In a hypothesis test with hypotheses and a random sample of size 846 produced a sample proportion of 0.2325. The test is to be made at the 2% significance level. What are the critical values of z?

A) -1.88 and 1.88

B) -2.05 and 2.05

C) -2.33 and 2.33

D) -1.983 and 1.983

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 108

10) In a hypothesis test with hypotheses and a random sample of size 809 produced a sample proportion of 0.2775. The test is to be made at the 2% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 109

11) In a hypothesis test with hypotheses and a random sample of size 757 produced a sample proportion of 0.2300. The test is to be made at the 5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 110

12) In a hypothesis test with hypotheses and a random sample of size 811 produced a sample proportion of 0.2200. The test is to be made at the 2% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 111

13) In a hypothesis test with hypotheses and a random sample of size 1179 produced a sample proportion of 0.6235. The test is to be made at the 2.5% significance level. What is the critical value of z?

A) 1.65

B) 2.33

C) 1.96

D) 2.58

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 112

14) In a hypothesis test with hypotheses and a random sample of size 1129 produced a sample proportion of 0.5910. The test is to be made at the 2.5% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 113

15) In a hypothesis test with hypotheses and a random sample of size 1194 produced a sample proportion of 0.6260. The test is to be made at the 2.5% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 114

16) In a hypothesis test with hypotheses and a random sample of size 1130 produced a sample proportion of 0.6010. The test is to be made at the 2.5% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 115

17) In a hypothesis test with hypotheses and a random sample of size 591 produced a sample proportion of 0.2605. The test is to be made at the 10% significance level. What is the critical value of z?

A) -1.645

B) -1.28

C) -2.05

D) -1.714

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 116

18) In a hypothesis test with hypotheses and a random sample of size 567 produced a sample proportion of 0.2655. The test is to be made at the 1% significance level. What is the value of the test statistic, z, rounded to three decimal places?

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 117

19) In a hypothesis test with hypotheses and a random sample of size 507 produced a sample proportion of 0.253. The test is to be made at the 10% significance level. What is the p-value for this hypothesis test, rounded to four decimal places?

Diff: 2

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 118

20) In a hypothesis test with hypotheses and a random sample of size 541 produced a sample proportion of 0.2705. The test is to be made at the 2% significance level. Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject", but don't include the quotation marks.)

Diff: 1

LO: 9.4.0 Perform a hypothesis test for the population proportion when using a large sample.

Section: 9.4 Hypothesis Tests About a Population Proportion: Large Samples

Question Title: Chapter 09, Testbank Question 119

© 2021 John Wiley & Sons, Inc. All rights reserved. Instructors who are authorized users of this course are permitted to download these materials and use them in connection with the course. Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.