Chapter 7, Problem 7P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

For a population with σ = 12, how large a sample is necessary to have a standard error that is:

**a.** less than 4 points?

**b.** less than 3 points?

**c.** less than 2 point?

**a.**

To determine

The sample size.

Explanation

**Given info:**

Population standard deviation is

**Calculation:**

Let

Let *n* represents the sample size and it can be determined from the relation:

Substitute; there exists inverse relationship between sample size and standard error, so inequality will be reversed when we substitute maximum value of standard error

**b.**

To determine

The sample size.

**c.**

To determine

The sample size.

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