   Chapter 8.6, Problem 4LC Essentials of Statistics for the B...

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

Solutions

Chapter
Section Essentials of Statistics for the B...

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

A researcher administers a treatment to a sample of n = 16 individuals selected from a normal population with µ. = 60 and σ = 12. If the treatment increases scores by 4 points, what is the power of a two-tailed hypothesis lest with α = .05?

To determine
The power of a two tailed test with increase Z-score by 4 points at α=0.05

Explanation

Given info:

The sample size n=16, population mean μ=60, standard deviation σ=12 and the level of significance α=0.05.

Calculation:

For the 4 points treatment effect,  the population mean is μ=64

The standard error (σM)

σM=σn=1216=3

The critical region for two tailed test with α=0.05 is z=1.96 or z=1.96

1.96σM=1.96×(3)=5

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