   # Consider the following hypothesis test. H 0 : μ = 20 H a : μ ≠ 20 The population standard deviation is 10. Use α = .05. How large a sample should be taken if the researcher is willing to accept a .05 probability of making a Type II error when the actual population mean is 22? 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 9.7, Problem 55E
Textbook Problem
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## Consider the following hypothesis test. H0: μ = 20 Ha: μ ≠ 20The population standard deviation is 10. Use α = .05. How large a sample should be taken if the researcher is willing to accept a .05 probability of making a Type II error when the actual population mean is 22?

To determine

Find the sample size.

### Explanation of Solution

Calculation:

The given information is that β=0.05, Power=0.95(=10.05), σ=10, μa=22 and μ0=20.

The null and alternative hypotheses are given below:

Null hypothesis:

H0:μ=20

Alternative hypothesis:

Ha</

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