Mann Sampling Distributions Test Bank Answers Chapter 7

Introductory Statistics, 10e (Mann)

Chapter 7 Sampling Distributions

7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

1) The population distribution is the probability distribution of the:

A) whole population of a country

B) population data

C) population means

D) population probabilities

Diff: 1

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 001

2) The sampling distribution is the probability distribution of a:

A) sample

B) sample with replacement

C) sample without replacement

D) sample statistic

Diff: 1

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 002

3) The probability distribution of a sample statistic is the:

A) frequency distribution of that statistic

B) binomial distribution of that statistic

C) sampling distribution of that statistic

D) Poisson distribution of that statistic

Diff: 1

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 003

4) A population contains 12 members. The total number of samples of size 4 that you can select (without replacement) from this population is:

Diff: 2

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 004

5) A population contains 11 members. The total number of samples of size 6 that you can select (without replacement) from this population is:

Diff: 2

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 005

6) The sampling error is:

A) an error that occurs during collection, recording, and tabulation of data

B) the difference between the value of a sample statistic and the value of the corresponding population parameter

C) an error that occurs when a sample of fewer than 30 members is drawn

D) an error that occurs when a sample of 30 or more members is drawn

Diff: 2

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 006

7) An error that occurs because of chance is called a:

A) nonsampling error

B) sampling error

C) mean error

D) probability error

Diff: 1

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 007

8) An error that occurs because of human mistakes is called a:

A) nonsampling error

B) sampling error

C) mean error

D) probability error

Diff: 1

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 008

9) The mean age of all students at a university is 24 years. The mean age of a random sample of 100 students selected from this university is 23.6 years. The difference (23.6 - 24 = -0.4) is the:

A) probability error

B) nonsampling error

C) sampling error

D) population error

Diff: 1

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 009

10) The mean weekly earnings of all employees of a company are $822. The mean weekly earnings of a random sample of 25 employees selected from this company is $837. The difference ($837 - $822 = $15) is the:

A) probability error

B) nonsampling error

C) sampling error

D) population error

Diff: 1

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 010

11) The mean price of all magazines published in the United States is $3.61. The mean price of a random sample of 16 magazines is $3.58. The sampling error is:

Diff: 1

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 011

12) The mean age of all cars registered in the United States is 7.60 years. The mean age of a random sample of 1,000 cars is 8.2. The sampling error is:

Diff: 1

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 012

13) A population consists of five elements: 5, 6, 8, 10, and 13. You choose a random sample of three elements from this population (without replacement). Which of the following is not a possible value of the sample mean?

A) 6.33

B) 8.00

C) 9.33

D) 10.67

Diff: 2

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 013

14) You select 15 people at random from a population of 10,000 and ask them how many movies they have rented in the past month. Their responses are:

You know that the mean number of movies rented in the past month by the population is 4.3. Assuming that you made no non-sampling errors, what is the sampling error for the mean?

Diff: 2

LO: 7.1.0 Demonstrate an understanding of a sampling distribution, sampling error, and nonsampling errors.

Section: 7.1 Sampling Distribution, Sampling Error, and Nonsampling Errors

Question Title: Chapter 07, Testbank Question 014

7.2 Mean and Standard Deviation of x̄

1) The mean of the sampling distribution of the sample mean is:

A) always equal to the sample mean

B) sometimes equal to the population mean

C) always equal to the population mean

D) sometimes equal to the sample mean

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 015

2) The mean of the sampling distribution of the sample mean is the mean of:

A) the means of all possible samples of the same size taken from the population

B) the frequency distribution of the population

C) the means of all frequency distributions

D) one sample

Diff: 2

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 016

3) If less than or equal to 0.05, the standard deviation of the sampling distribution of the sample mean is equal to the population standard deviation:

A) divided by the square of the sample size

B) divided by the sample size

C) divided by the square root of the sample size

D) multiplied by the sample size

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 017

4) When the sample size is greater than 1, the standard deviation of the sampling distribution of the sample means is always:

A) equal to the standard deviation of the population

B) smaller than the standard deviation of the population

C) greater than the standard deviation of the population

D) none of these

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 018

5) As the sample size increases, the standard deviation of the sampling distribution of the sample mean:

A) increases

B) decreases

C) remains the same

D) unable to determine

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 019

6) The standard deviation of the sampling distribution of the sample mean for a sample size of n drawn from a population with a mean of μ and a standard deviation of σ and is:

A)

B)

C)

D)

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 020

7) For a continuous random variable x, the population mean and the population standard deviation are 75 and 14, respectively. You take a simple random sample of 25 elements from this population. The mean of the sampling distribution of the sample mean is:

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 021

8) For a continuous random variable x, the population mean and the population standard deviation are 148 and 11, respectively. You take a simple random sample of 36 elements from this population. The mean of the sampling distribution of the sample mean is:

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 022

9) For a continuous random variable x, the population mean and the population standard deviation are 75 and 20, respectively. Assuming the standard deviation of the sampling distribution of the sample mean for a sample of 16 elements taken from this population, rounded to two decimals, is:

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 023

10) For a continuous random variable x, the population mean and the population standard deviation are 110 and 45, respectively. Assuming the standard deviation of the sampling distribution of the sample mean for a sample of 49 elements taken from this population, rounded to two decimals, is:

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 024

11) The daily sales at a convenience store have a mean of $1309 and a standard deviation of $125. The mean of the sampling distribution of the mean sales of a sample of 41 days for this convenience store is:

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 025

12) The weights of all babies born at a hospital have a mean of 7.5 pounds and a standard deviation of 0.64 pounds. The mean of the sampling distribution of the mean weight of a sample of 31 babies born at this hospital is:

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 026

13) The daily sales at a convenience store have a mean of $1337 and a standard deviation of $155. Assuming the standard deviation of the sampling distribution of the mean sales of a sample of 19 days for this convenience store, rounded to two decimal places, is:

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 027

14) The weights of all babies born at a hospital have a mean of 7.8 pounds and a standard deviation of 0.71 pounds. Assuming the standard deviation of the sampling distribution of the mean weight of a sample of 45 babies born at this hospital, rounded to three decimal places, is:

Diff: 1

LO: 7.2.0 Demonstrate an understanding of the mean and standard deviation of the sample mean.

Section: 7.2 Mean and Standard Deviation of the Sample Mean

Question Title: Chapter 07, Testbank Question 028

7.3 Shape of the Sampling Distribution of x̄

1) If the population from which samples are drawn is normally distributed, then the sampling distribution of the sample mean is:

A) not normally distributed

B) normally distributed if n is 30 or larger

C) always normally distributed

D) normally distributed if n is less than 30

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 029

2) If the population from which samples are drawn is not normally distributed, then the sampling distribution of the sample mean is:

A) never normally distributed

B) approximately normally distributed if n is 30 or larger

C) always normally distributed

D) approximately normally distributed if n is less than 30

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 030

3) According to the Central Limit Theorem, the sampling distribution of the sample mean is approximately normal, irrespective of the shape of the population distribution, if:

A) n is 30 or larger

B) n is less than 30

C) np and nq are both greater than 5

D) n is 50 or larger

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 031

4) To apply the Central Limit Theorem to the sampling distribution of the sample mean, the required sample is typically large enough if:

A) n is greater than 50

B) n is 50 or less

C) n is less than 30

D) n is 30 or larger

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 032

5) A continuous random variable x has a normal distribution with a mean of 90 and a standard deviation of 15. The sampling distribution of the sample mean for a sample of 16 elements taken from this population is:

A) not normal

B) normal

C) skewed to the right

D) skewed to the left

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 033

6) A continuous random variable x has a right-skewed distribution with a mean of 45 and a standard deviation of 6. The sampling distribution of the sample mean for a sample of 25 elements taken from this population is:

A) approximately normal

B) normal

C) skewed to the right

D) skewed to the left

Diff: 2

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 034

7) A continuous random variable x has a right-skewed distribution with a mean of 80 and a standard deviation of 12. The sampling distribution of the sample mean for a sample of 50 elements taken from this population is:

A) approximately normal

B) not normal

C) skewed to the right

D) skewed to the left

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 035

8) A continuous random variable x has a left-skewed distribution with a mean of 130 and a standard deviation of 22. The sampling distribution of the sample mean for a sample of 16 elements taken from this population is:

A) approximately normal

B) normal

C) skewed to the right

D) skewed to the left

Diff: 2

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 036

9) A continuous random variable x has a left-skewed distribution with a mean of 155 and a standard deviation of 28. The sampling distribution of the sample mean for a sample of 75 elements taken from this population is:

A) approximately normal

B) not normal

C) skewed to the right

D) skewed to the left

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 037

10) The number of hot dogs sold per game at one concession stand at a baseball park is normally distributed with and You select 10 games at random, and the mean number of hot dogs sold, , is denoted. What is the standard deviation of , rounded to three decimal places?

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 038

11) For a sample from a normal distribution with standard deviation σ, the standard deviation of the sampling distribution of the sample mean is σ /6. What is the size of the sample?

Diff: 2

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 039

12) A continuous random variable x has a normal distribution with a mean of 105 and a standard deviation of 30. The sampling distribution of the sample mean for a sample of 25 elements has what mean and standard deviation?

A) μ = 105

σ = 6

B) μ = 105

σ = 1.2

C) μ = 65

σ = 1.2

D) μ = 65

σ = 6

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 040

13) A continuous random variable x has a right-skewed distribution with a mean of 46 and a standard deviation of 20. The sampling distribution of the sample mean for a sample of 100 elements has what mean and standard deviation?

A) μ = 46

σ = 2

B) μ = 46

σ = 0.20

C) μ = 73

σ = 0.20

D) μ = 73

σ = 2

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 041

14) A continuous random variable x has a left-skewed distribution with a mean of 75 and a standard deviation of 64. The sampling distribution of the sample mean for a sample of 16 elements has what mean and standard deviation?

A) μ = 75

σ = 8

B) μ = 75

σ = 4.00

C) μ = 46

σ = 4.00

D) μ = 46

σ = 8

Diff: 1

LO: 7.3.0 Demonstrate an understanding of the relationship between the shape of the sampling distribution and the shape of the population distribution.

Section: 7.3 Shape of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 042

7.4 Applications of the Sampling Distribution of x̄

1) A population has a mean of 100.5 and a standard deviation of 27.0. Assuming the probability, rounded to four decimal places, that the sample mean of a sample of size 67 elements selected from this population will be between 91 and 97 is:

Diff: 2

LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 043

2) A population has a mean of 57.3 and a standard deviation of 13.3. Assuming the probability, rounded to four decimal places, that the sample mean of a sample of size 34 elements selected from this populations will be between 62.5 and 67.1 is:

Diff: 2

LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 044

3) A population has a normal distribution with a mean of 52.7 and a standard deviation of 7.6. Assuming the probability, rounded to four decimal places, that the sample mean of a sample of size 21 elements selected from this populations will be more than 51.15 is:

Diff: 2

LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 045

4) A population has a normal distribution with a mean of 83.7 and a standard deviation of 12.7. Assuming the probability, rounded to four decimal places, that the sample mean of a sample of size 16 elements selected from this populations will be less than 80.1 is:

Diff: 2

LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 046

5) The number of hours spent per week on household chores by all adults has a mean of 26.5 hours and a standard deviation of 7.8 hours. The probability, rounded to four decimal places, that the mean number of hours spent per week on household chores by a sample of 37 adults will be more than 26.75 is:

Diff: 2

LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 047

6) The time spent commuting from home to work for all employees of a very large company has a normal distribution with a mean of 42.9 minutes and a standard deviation of 9.0 minutes. The probability, rounded to four decimal places, that the mean time spent commuting from home to work by a sample of 21 employees will be between 43.26 and 49.35 minutes is:

Diff: 2

LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 048

7) All 1,035 members at a country club take part in a contest to see who can drive a golf ball the farthest. Each member takes three swings, and his/her best drive is entered into the contest. The distances of the drives entered into the contest have a mean of 193.0 yards and a standard deviation of 13.80 yards. You select a sample of 33 drives, what is the probability, rounded to four decimal places, that the mean of the sample exceeds 192 yards?

Diff: 2

LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 049

8) A continuous random variable x has a normal distribution with a mean of 59 and a standard deviation of 17. In the sampling distribution of the sample mean for a sample of 16 elements, what is the z-score for a sample mean of 53.05?

Diff: 1

LO: 7.4.0 Demonstrate an understanding of how to apply the sampling distribution of the sample mean.

Section: 7.4 Applications of the Sampling Distribution of the Sample Mean

Question Title: Chapter 07, Testbank Question 050

7.5 Population and Sample Proportions; and the Mean, Standard Deviation, and Shape of the Sampling

Distribution of p̂

1) If you divide the number of elements in a population with a specific characteristic by the total number of elements in the population, the result is the population:

A) mean

B) proportion

C) distribution

D) sampling distribution

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 051

2) If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the result is the:

A) sample mean

B) sample proportion

C) sample distribution

D) sampling distribution

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 052

3) The mean of the sampling distribution of the sample proportion is equal to the population:

A) mean

B) mean divided by n

C) proportion

D) proportion divided by n

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 053

4) Assuming ≤ .05, the standard deviation of the sampling distribution of the sample proportion is equal to:

A)

B)

C)

D)

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 054

5) In the case of proportion, the sample size is large if:

A) n is greater than or equal to 30

B) np and nq are both less than 5

C) n is less than 30

D) np and nq are both greater than 5

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 055

6) The sampling distribution of the sample proportion is approximately normal if:

A) n is greater than or equal to 30

B) np and nq are both equal to 4

C) np and nq are both greater than 5

D) np and nq are both less than 5

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 056

7) A company has 506 employees and 196 of them are college graduates. The proportion of employees of this company who are college graduates, rounded to three decimal places, is:

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 057

8) A class of 40 students has 15 seniors. The proportion of students in this class who are seniors, rounded to three decimal places, is:

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 058

9) In a sample of 781 adults, 529 are in favor of banning all advertisements relating to alcohol. The proportion of these adults who are in favor of banning all advertisements relating to alcohol, rounded to three decimal places, is:

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 059

10) Forty percent of all students at a large university live on campus. Suppose you extract a sample of 101 students from this university. The sample proportion is the proportion of students in this sample who live on campus. The mean of the sampling distribution of this sample proportion is:

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 060

11) Forty percent of all students at a large university live on campus. Suppose you extract a sample of 104 students from this university. The sample proportion is the proportion of students in this sample who live on campus. The standard deviation of the sampling distribution of this sample proportion, rounded to four decimal places, is:

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 061

12) Thirty-five percent of all adults read at least one newspaper daily. Suppose you select a sample of 516 adults. The sample proportion is the proportion of adults in this sample who read at least one newspaper daily. The mean of the sampling distribution of this sample proportion is:

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 062

13) Thirty-five percent of all adults read at least one newspaper daily. Suppose you select a sample of 554 adults. The sample proportion is the proportion of adults in this sample who read at least one newspaper daily. The standard deviation of the sampling distribution of this sample proportion, rounded to four decimal places, is:

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 063

14) There are 2,000 bicycles in a community. The owners of 1,250 of these bicycles also own locks for the bikes. A sample of 520 bicycles is chosen, and it just so happens that the proportion of bicycles in the sample that have locks is the same as that for the entire community. How many of the bicycles in the sample have locks?

Diff: 2

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 064

15) You ask 2,500 actors in the Screen Actors Guild (SAG) if they have ever appeared in a production of Shakespeare's King Lear. 1225 of them say "yes", while the others say "no". The value p is the proportion of the actors who have appeared in King Lear. You next draw a random sample of 13 actors from the SAG. What are the mean and standard deviation of the sample proportion? Round the mean to two decimal places and the standard deviation to four decimal places.

A) Part A: The mean is 0.49 (rounded to two decimal places)

Part B: The standard deviation is 0.1386 (rounded to four decimal places)

B) Part A: The mean is 0.48 (rounded to two decimal places)

Part B: The standard deviation is 0.1386 (rounded to four decimal places)

C) Part A: The mean is 0.48 (rounded to two decimal places)

Part B: The standard deviation is 0.1443 (rounded to four decimal places)

D) Part A: The mean is 0.49 (rounded to two decimal places)

Part B: The standard deviation is 0.1443 (rounded to four decimal places)

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 065

16) A company has 15,000 employees and 9900 of them have completed a particular training course. Management decides to choose a random sample from all employees. What is the minimum number of employees that must be in the sample in order to use the Central Limit Theorem to approximate the distribution of the proportion in the sample who have taken the training course?

Diff: 2

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 066

17) In a city with a population of 10,400 people, 3300 people tested positive for the flu. In a random sample of 250 people in that city, 81 people tested positive for the flu. Assuming no sampling errors were made, find the sampling error to two decimal places.

Diff: 1

LO: 7.5.0 Demonstrate an understanding of the shape, mean, and standard deviation of the sampling distribution of the sample proportion.

Section: 7.5 Population and Sample Proportions; and Mean, Standard Deviation, and Shape of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 067

7.6 Applications of the Sampling Distribution of p̂

1) Suppose the proportion of elements of a population that possess a certain characteristic is 0.6. Assuming the probability that the sample proportion for a sample of 122 elements drawn from this population is between .62 and .67, rounded to four decimal places, is approximately:

Diff: 2

LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 068

2) Suppose the proportion of elements of a population that possess a certain characteristic is 0.32. Assuming the probability that the sample proportion for a sample of 456 elements drawn from this population is more than .33, rounded to four decimal places, is approximately:

Diff: 2

LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 069

3) Suppose that 6.1% or all persons are allergic to penicillin. A sample of 843 persons is selected. The probability that less than 8% of persons in the sample of will be allergic to penicillin, rounded to four decimal places, is approximately:

Diff: 2

LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 070

4) Suppose that 8.9% or all persons are allergic to penicillin. A sample of 955 persons is selected. The probability that 7.5% to 9% of persons in a the sample will be allergic to penicillin, rounded to four decimal places, is approximately:

Diff: 2

LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 071

5) A study shows 18.3 % of all adult males did not visit their physicians' offices last year. A sample of 786 adult males is selected. The probability that more than 18% of adult males in the sample did not visit their physicians' offices last year, rounded to four decimal places, is approximately:

Diff: 2

LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 072

6) A study shows 22.0 % of all adult males did not visit their physicians' offices last year. A sample of 467 adult males is selected. The probability that less than 22.5% of adult males in the sample did not visit their physicians' offices last year, rounded to four decimal places, is approximately:

Diff: 2

LO: 7.6.0 Demonstrate an understanding of how to apply the sampling distribution of the sample proportion.

Section: 7.6 Applications of the Sampling Distribution of the Sample Proportion

Question Title: Chapter 07, Testbank Question 073

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