Statistics for Business & Economics, Revised, 13th Edition by David R. Anderson – Test Bank

Statistics for Business & Economics, Revised, 13th Edition by David R. Anderson – Test Bank

CH 07 – Sampling and Sampling Distributions

Multiple Choice

1. From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combination of random samples of 4 students can be selected?

a.

48

b.

20,736

c.

16

d.

495

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.02 – Selecting a Sample

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

2. Parameters are

a.

numerical characteristics of a sample.

b.

numerical characteristics of a population.

c.

the averages taken from a sample.

d.

numerical characteristics of either a sample or a population.

ANSWER:

b

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.01 – Sampling Problem

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

3. How many simple random samples of size 3 can be selected from a population of size 7?

a.

7

b.

21

c.

35

d.

343

ANSWER:

c

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.02 – Selecting a Sample

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

4. How many simple random samples of size 5 can be selected from a population of size 8?

a.

40

b.

68

c.

336

d.

56

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.02 – Selecting a Sample

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

5. Sampling distribution of is the

a.

probability distribution of the sample mean.

b.

probability distribution of the sample proportion.

c.

mean of the sample.

d.

mean of the population.

ANSWER:

a

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.04 – Introduction to sampling distributions

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

6. A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is

a.

1.20

b.

0.12

c.

8.00

d.

0.80

ANSWER:

a

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

7. A simple random sample of 144 observations was taken from a large population. The sample mean and the standard deviation were determined to be 1234 and 120 respectively. The standard error of the mean is

a.

1234±120.

b.

120.

c.

1440.

d.

10.

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

8. A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within ±2 of the population mean?

a.

0.6826

b.

0.3413

c.

-0.6826

d.

Since the mean is not given, there is no answer to this question.

ANSWER:

a

POINTS:

1

DIFFICULTY:

Moderate

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

9. The probability distribution of all possible values of the sample proportion is the

a.

probability density function of .

b.

sampling distribution of .

c.

same as , since it considers all possible values of the sample proportion.

d.

sampling distribution of .

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.06 – Sampling distribution of sample proportion

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

10. In computing the standard error of the mean, the finite population correction factor is used when

a.

N/n > 0.05

b.

N/n 0.05

c.

n/N > 0.05

d.

n/N 30

ANSWER:

c

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

11. Convenience sampling is an example of

a.

probabilistic sampling.

b.

stratified sampling.

c.

nonprobabilistic sampling.

d.

cluster sampling.

ANSWER:

c

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.08 – Other sampling methods

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

12. Which of the following is an example of nonprobabilistic sampling?

a.

Simple random sampling

b.

Stratified simple random sampling

c.

Cluster sampling

d.

Judgment sampling

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.08 – Other sampling methods

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

13. A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first selection, the probability of an element being selected is

a.

0.100

b.

0.010

c.

0.001

d.

0.002

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.02 – Selecting a Sample

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

14. The closer the sample mean is to the population mean,

a.

the larger the sampling error.

b.

the smaller the sampling error.

c.

the sampling error equals 1.

d.

none of these alternatives is correct.

ANSWER:

b

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

15. As the sample size increases, the

a.

standard deviation of the population decreases.

b.

population mean increases.

c.

standard error of the mean decreases.

d.

standard error of the mean increases.

ANSWER:

c

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

16. A simple random sample from an infinite population is a sample selected such that

a.

each element is selected independently and from the same population.

b.

each element has a 0.5 probability of being selected.

c.

each element has a probability of at least 0.5 of being selected.

d.

the probability of being selected changes.

ANSWER:

a

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.02 – Selecting a Sample

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

17. A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is

a.

24

b.

56

c.

512

d.

128

ANSWER:

b

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.02 – Selecting a Sample

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

18. In point estimation

a.

data from the population is used to estimate the population parameter.

b.

data from the sample is used to estimate the population parameter.

c.

data from the sample is used to estimate the sample statistic.

d.

the mean of the population equals the mean of the sample.

ANSWER:

b

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.03 – Point estimation

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

19. The sample statistic s is the point estimator of

a.

μ

b.

σ

c.

d.

ANSWER:

b

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.03 – Point estimation

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

20. The sample mean is the point estimator of

a.

μ

b.

σ

c.

d.

ANSWER:

a

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.03 – Point estimation

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

21. If we consider the simple random sampling process as an experiment, the sample mean is

a.

always zero.

b.

always smaller than the population mean.

c.

a random variable.

d.

exactly equal to the population mean.

ANSWER:

c

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.04 – Introduction to sampling distributions

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

22. As the sample size becomes larger, the sampling distribution of the sample mean approaches a

a.

Binomial distribution.

b.

Poisson distribution.

c.

Normal distribution.

d.

Chi-square distribution.

ANSWER:

c

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

23. Whenever the population has a normal probability distribution, the sampling distribution of is a normal probability distribution for

a.

large sample sizes.

b.

small sample sizes.

c.

any sample size.

d.

samples of size thirty or greater.

ANSWER:

c

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

24. The sampling error is the

a.

same as the standard error of the mean.

b.

difference between the value of the sample mean and the value of the population mean.

c.

error caused by selecting a bad sample.

d.

standard deviation multiplied by the sample size.

ANSWER:

b

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.01 – Sampling Problem

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

25. The standard deviation of a sample of 100 elements taken from a very large population is determined to be 60. The variance of the population

a.

can not be larger than 60.

b.

can not be larger than 3600.

c.

must be at least 100.

d.

can be any value greater or equal to zero.

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

26. From a population of 200 elements, a sample of 49 elements is selected. It is determined that the sample mean is 56 and the sample standard deviation is 14. The standard error of the mean is

a.

3

b.

2

c.

greater than 2

d.

less than 2

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

27. The probability distribution of all possible values of the sample mean is

a.

the probability density function of .

b.

the sampling distribution of .

c.

the grand mean, since it considers all possible values of the sample mean.

d.

one, since it considers all possible values of the sample mean.

ANSWER:

b

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

28. Which of the following sampling methods does not lead to probability samples?

a.

Stratified sampling

b.

Cluster sampling

c.

Systematic sampling

d.

Convenience sampling

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.08 – Other sampling methods

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

29. Which of the following is(are) point estimator(s)?

a.

σ

b.

μ

c.

s

d.

α

ANSWER:

c

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.03 – Point estimation

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

30. A probability distribution of all possible values of a sample statistic is known as

a.

a sample statistic.

b.

a parameter.

c.

simple random sampling.

d.

a sampling distribution.

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.04 – Introduction to sampling distributions

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

31. A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken. The probability that the sample mean will be between 297 to 303 is

a.

0.4332.

b.

0.9544.

c.

0.9332.

d.

0.0668.

ANSWER:

b

POINTS:

1

DIFFICULTY:

Moderate

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

32. The standard deviation of a point estimator is called the

a.

standard deviation.

b.

standard error.

c.

point estimator.

d.

variance of estimation.

ANSWER:

b

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

33. A single numerical value used as an estimate of a population parameter is known as

a.

a parameter.

b.

a population parameter.

c.

a mean estimator.

d.

a point estimate.

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.03 – Point estimation

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

34. The sample statistic, such as , s, or , that provides the point estimate of the population parameter is known as

a.

a point estimator.

b.

a parameter.

c.

a population parameter.

d.

a population statistic.

ANSWER:

a

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.03 – Point estimation

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Remember

35. The purpose of statistical inference is to provide information about the

a.

sample based upon information contained in the population.

b.

population based upon information contained in the sample.

c.

population based upon information contained in the population.

d.

mean of the sample based upon the mean of the population.

ANSWER:

b

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.02 – Selecting a Sample

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Understand

36. A simple random sample of 64 observations was taken from a large population. The sample mean and the standard deviation were determined to be 320 and 120 respectively. The standard error of the mean is

a.

1.875

b.

40

c.

5

d.

15

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

37. Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are

a.

200 and 18

b.

81 and 18

c.

9 and 2

d.

200 and 2

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

38. A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the sample mean will be larger than 82 is

a.

0.5228

b.

0.9772

c.

0.4772

d.

0.0228

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

39. A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the sample mean will be between 183 and 186 is

a.

0.1359

b.

0.8185

c.

0.3413

d.

0.4772

ANSWER:

a

POINTS:

1

DIFFICULTY:

Moderate

LEARNING OBJECTIVES:

BSST.ASWC.17.07.05 – Sampling distribution of sample mean

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply

40. Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

a.

0.0004

b.

0.2100

c.

0.3000

d.

0.0200

ANSWER:

d

POINTS:

1

DIFFICULTY:

Easy

LEARNING OBJECTIVES:

BSST.ASWC.17.07.06 – Sampling distribution of sample proportion

NATIONAL STANDARDS:

United States – BUSPROG: Analytic

STATE STANDARDS:

United States – AK – DISC: Statistical Inference

KEYWORDS:

Bloom’s: Apply