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Chapter 1: Q 1.32. (page 15)

Regarding simple random sampling:

(a) What is simple random sampling?

(b) What is a simple random sample?

(c) Identify two forms of simple random sampling and explain the difference between the two.

Short Answer

Expert verified

Part (a) A sampling procedure in which each possible sample of a given size has an equal chance of being selected.

Part (b) A sample obtained using simple random sampling.

Part (c) A sample can be obtained more than once in simple random sampling with replacement, but in simple random sampling without replacement, a sample can only be chosen once.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

What is simple random sampling?

02

Part (a) Step 2. Meaning of simple random sampling. 

Simple random sampling is a sampling procedure in which each possible sample of a given size has an equal chance of being selected.

03

Part (b) Step 1. Meaning of simple random sample.

A sample obtained using simple random sampling is known as a simple random sample.

04

Part (c) Step 1. Identify two forms of simple random sampling and explain the difference between them.

The two forms of simple random sampling are:

  1. Simple random sampling with replacement
  2. Simple random sampling without replacement

A member of the population can be selected more than once in simple random sampling with replacement.

In simple random sampling without replacement, on the other hand, a member of the population can only be chosen once.

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Most popular questions from this chapter

In simple random sampling, all samples of a given size are equally likely. Is that true in systematic random sampling? Explain your answer.

The International 500. Each year, Fortune Magazine publishes an article titled "The International 500" that provides a ranking by sales of the top 500 firms outside the United States. Suppose that you want to examine various characteristics of successful firms. Further suppose that, for your study, you decide to take a simple random sample of 10 firms from Fortune Magazine's list of "The International 500."

(a) Use Table I in Appendix A to obtain 10 random numbers that you can use to specify your sample. Start at the three-digit number in line number 14 and column numbers 10-12, read down the column, up the next, and so on.

(b) If you have access to a random-number generator, use it to solve part (a).

The members of a population have been numbered 1-372. A sample of size 5 is to be taken from the population, using systematic random sampling.

(a) Apply Procedure 1.1 on page 17 to determine the sample ( i.e .. the numbers corresponding to the members of the population that are included in the sample ).

(b) Suppose that, in Step 2 of Procedure 1.1, the random number chosen is 10 ( i.e., k = 10 ). Determine the sample.

In simple random sampling, it is also true that each member of the population is equally likely to be selected, the chance for each member being equal to the sample size divided by the population size.

(a) Under what circumstances is that fact also true for systematic random sampling? Explain your answer.

(b) Provide an example in which that fact is not true for systematic random sampling.

Identify and explain the significance of the three basic principles of experimental design.
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