# Sampling and Sampling Distributions True/False

Chapter 7: Sampling and Sampling Distributions

True/False

1. Saving time and money are reasons to take a sample rather than do a census.

Ans:

Response: See section 7.1 Sampling

Difficulty: Easy

2. In some situations, sampling may be the only option because the population is inaccessible.

Ans:

Response: See section 7.1 Sampling

Difficulty: Easy

3. A population list, map, directory, or other source used to represent the population from which a sample is taken is called the census.

Ans:

Response: See section 7.1 Sampling

Difficulty: Easy

4. In a random sampling technique, every unit of the population has a randomly varying chance or probability of being included in the sample.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

5. Cluster (or area) sampling is a type of random sampling technique.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

6. Systematic sampling is a type of nonrandom sampling technique.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

7. A major limitation of nonrandom samples is that they are not appropriate for most statistical methods.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

8. The directory or map from which a sample is taken is called the frame.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

9. The two major categories of sampling methods are proportionate and disproportionate sampling.

Ans:

Response: See section 7.1 Sampling

Difficulty: Easy

10.          If every unit of the population has the same probability of being selected to the sample, then the researcher is probably conducting random sampling.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

11.          With cluster sampling, there is homogeneity within a subgroup or stratum.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

12.          If every unit of the population has the same probability of being selected to the sample, then the researcher is probably conducting random sampling.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

13.          If a researcher selects every kth item from a population of N items, then she is likely conducting a stratified random sampling.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

14.          If every unit of the population has the same probability of being selected to the sample, then the researcher is conducting random sampling.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

15.          A nonrandom sampling technique that is similar to stratified random sampling is called quota sampling.

Ans:

Response: See section 7.1 Sampling

Difficulty: Easy

16.          Nonsampling error occurs when, due to chance, the sample is not representative of the population.

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

17.          A sampling distribution is the distribution of a sample statistic such as the sample mean or sample proportion.

Ans:

Response: See section 7.2 Sampling Distribution of x¯

Difficulty: Medium

18.          The standard deviation of a sampling distribution of the sample means is commonly called the standard error of the mean.

Ans:

Response: See section 7.2 Sampling Distribution of x¯

Difficulty: Medium

19.          The central limit theorem states that if the sample size, n, is large enough (n ≥30), the distribution of the sample means is uniformly distributed regardless of the shape of the population.

Ans:

Response: See section 7.2 Sampling Distribution of x¯

Difficulty: Medium

20.          Increasing the sample size causes the numerical value of standard error of the mean to increase.

Ans:

Response: See section 7.2 Sampling Distribution of x¯

Difficulty: Hard

Multiple Choice

21.          Kristen Ashford purchased the subscribers list for Wind Surfing magazine.  She plans to survey a sample of the subscribers before using the list in her mail order business.  She chooses the first 100 of the 5,000 names.  Her sample is a _________.

a) simple random sample

b) stratified sample

c) systematic sample

d) convenience sample

e) cluster sample

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

22.          Kristen Ashford purchased the subscribers list for Wind Surfing magazine.  She plans to survey a sample of the subscribers before using the list in her mail order business.  She randomly selects the fourth name as a starting point and then selects every 50th subsequent name (54, 104, 154, etc.).  Her sample is a _________.

a) simple random sample

b) stratified sample

c) systematic sample

d) convenience sample

e) cluster sample

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

23.          Kristen Ashford purchased the subscribers list for Wind Surfing magazine.  She plans to survey a sample of the subscribers before using the list in her mail order business.  The names are numbered consecutively from 1 to 5,000.  Kristen chooses her sample by selecting four-digit numbers (1 to 5,000) from a random number table.  Her sample is a _________.

a) simple random sample

b) stratified sample

c) systematic sample

d) convenience sample

e) cluster sample

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

24.          Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system.  She knows that 2,500 payroll vouchers have been issued since January 1, 2000, and her staff doesn’t have time to inspect each voucher.  So, she orders her staff to inspect the last 200 vouchers.  Her sample is a ___________.

a) stratified sample

b) simple random sample

c) convenience sample

d) systematic sample

e) cluster sample

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

25.          Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system.  She knows that 2,500 payroll vouchers have been issued since January 1, 2000, and her staff doesn’t have time to inspect each voucher.  So, she randomly selects 53 as a starting point and orders her staff to inspect the 53rd voucher and each voucher at an increment of 100 (53, 153, 253, etc.).  Her sample is a ___________.

a) stratified sample

b) simple random sample

c) convenience sample

d) cluster sample

e) systematic sample

Ans:

Response: See section 7.1 Sampling

Difficulty: Medium

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