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Chapter 7: Q.23 (page 431)

If we take a simple random sample of size n=500from a population of size 5,000,000, the variability of our estimate will be

(a) much less than the variability for a sample of size n=500 from a population of size 50,000,000.

(b) slightly less than the variability for a sample of size n=500from a population of size 50,000,000.

(c) about the same as the variability for a sample of size n=500from a population of size 50,000,000.

(d) slightly greater than the variability for a sample of size n=500from a population of size 50,000,000.

(e) much greater than the variability for a sample of size n=500 from a population of size 50,000,000.

Short Answer

Expert verified

A correct answer is an option (C) about the same as the variability for a sample of size n=500 from a population of size 50,000,000.

Step by step solution

01

Given Information

A simple random sample of size n=500 from a population of size 5,000,000,

02

Explanation

A simple random sample is expected to have roughly the same variability as its population and thus answer (c) is correct.

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