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A random simple is selected from a normal population with a mean of μ = 30 and a standard deviation of σ = 8. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 33. a. If the sample consists of n = 16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. b. If the sample consists of n = 64 scores, is the sample mean sufficient effect? Use a two-tailed test with α = .05. c. Comparing your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test.

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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781133956570
BuyFind

Essentials of Statistics for the B...

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

Solutions

Chapter
Section
Chapter 8, Problem 6P
Textbook Problem

A random simple is selected from a normal population with a mean of μ = 30 and a standard deviation of σ = 8. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 33.

a. If the sample consists of n = 16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.

b. If the sample consists of n = 64 scores, is the sample mean sufficient effect? Use a two-tailed test with α = .05.

c. Comparing your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test.

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Chapter 8 Solutions

Essentials of Statistics for the Behavioral Sciences
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