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Chapter 1: Q 1.78 (page 25)

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

Short Answer

Expert verified

No. It is not true in the case of systematic random sampling.

Step by step solution

01

Step 1. Given information.

The statement given in the question is "In simple random sampling, all samples of a given size are equally likely." We have to tell if it is also true for systematic random sampling.

02

Step 2. Explanation.

All samples are equally likely in simple random sampling since they all have an equal chance of being included in the sample.

We divide the population size by the sample size and indicate the rounded number as m in systematic sampling, and then choose a random number between 1 and m in simple random sampling.

As a result, with systematic sampling, all samples are not equally likely.

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Most popular questions from this chapter

Oklahoma State Officials. The five top Oklahoma state officials are displayed in Table 1.2 on page 11. Use that table to solve the following problems.

(a). List the 10 possible samples (without replacement) of size 3 that can be obtained from the population of five officials.

(b). If a simple random sampling procedure is used to obtain a sample of three officials, what are the chances that it is the first sample on your list in part (a)? the second sample? the tenth sample?

Identify two statistical methods other than a census for obtaining information.

Explain the meaning of a

(a) representative sample,

(b) probability sampling,

(c) simple random sampling.

The members of a population are numbered 1-50.

(a). Use Table I in Appendix A to obtain an SRS of size 6 from the population. Start at the two-digit number in line number 10 and column numbers 10-11, 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)

In each of Exercises 1.55-1.58, fill in the blank (s).

Systematic random sampling is easier to execute than simple random sampling and usually provides comparable results. The exception is the presence of some kind of in the listing of the members of the population.
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