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A sample of difference scores from a repeated-measures experiment has a mean of MD=3 with a standard deviation of s=4 . a. If n=4 , is this sample sufficient to reject the null hypothesis using a two-tailed test with αα=.05 ? b. Would you reject H0 if n=16 ? Again, assume a two-tailed test with αα=.05 . c. Explain how the size of the sample influences the likelihood of finding a significant mean difference.

A sample of difference scores from a repeated-measures experiment has a mean of MD=3 with a standard deviation of s=4 . a. If n=4 , is this sample sufficient to reject the null hypothesis using a two-tailed test with αα=.05 ? b. Would you reject H0 if n=16 ? Again, assume a two-tailed test with αα=.05 . c. Explain how the size of the sample influences the likelihood of finding a significant mean difference.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A sample of difference scores from a repeated-measures experiment has a mean of
MD=3 with a standard deviation of s=4 .

a. If n=4 , is this sample sufficient to reject the null hypothesis using a two-tailed test with αα=.05 ?

b. Would you reject
H0 if n=16 ? Again, assume a two-tailed test with αα=.05 .

c. Explain how the size of the sample influences the likelihood of finding a significant mean difference.

 

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