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To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of μ = 40 , and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 35 . a. If the sample variance is s 2 = 32 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05 ? b. If the sample variance is s 2 = 72 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05 ? c. Comparing your answer for pans a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?

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Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781305504912
BuyFind

Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781305504912

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Chapter
Section
Chapter 9, Problem 12P
Textbook Problem

To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of μ = 40 , and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 35 . a. If the sample variance is s 2 = 32 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05 ?

b. If the sample variance is s 2 = 72 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05 ?

c. Comparing your answer for pans a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?

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