   Chapter 11, Problem 8P 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 sample of difference scores from a repeated-measures experiment has a mean of MD = 4 with a standard deviation of s = 6. a. If n = 4, is this sample sufficient to reject the null hypothesis using a two-tailed test with α = .05? b. Would you reject H0 if n = 16? Again, assume a two-tailed test with α = .05. c. Explain how the size of the sample influences the likelihood of finding a significant mean difference.

a.

To determine
Sample with n=4 is sufficient to reject the null hypothesis.

Explanation

Given info:

Numbers of participants in the sample are n=4. Mean difference is MD=4.

Sample standard deviation is s=6. Level of significance for two tailed test is α=0.05.

Calculation:

Null Hypothesis: Sample came from a population with μD=0.

Alternate Hypothesis: Sample came from a population with μD0

In repeated-measures study, t statistic under null hypothesis is given by:

t=MDμDsn=4064=1

b.

To determine
Sample with n=16 is sufficient to reject the null hypothesis.

c.

To determine

To Explain: How the size of the sample influences the likelihood of finding a significant mean difference.

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