Chapter 7, Problem 7P

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Chapter
Section

### Essentials of Statistics for the B...

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 σ=12 and the standard error is less than 4 points.

Calculation:

Let σM represents the standard error and σ represents population standard deviation. Then,

σM<4σ=12

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

σM=σn

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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