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StatisticsEssentials of Statistics for the Behavioral Sciencesa. A repeated-measures study with a sample of n = 9 participants produces a mean difference of M = 3 with a standard deviation of s = 6. Use a two-tailed hypothesis test with α = .05 to determine whether it is likely that this sample came from a population with μ D = 0. b. Now assume that the sample mean difference is μ D = 12, and once again visualize the sample distribution. Use a two-tailed hypothesis test with α = .05 to determine whether it is likely that this sample came from a population with μ D = 0. c. Explain how the size of the sample mean difference influences the likelihood of finding a significant mean difference.BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

Publisher: Cengage Learning

ISBN: 9781133956570

Chapter 11, Problem 7P

Textbook Problem

a. A repeated-measures study with a sample of *n* = 9 participants produces a mean difference of *M* = 3 with a standard deviation of *s* = 6. Use a two-tailed hypothesis test with
_{D} = 0.

b. Now assume that the sample mean difference is
_{D}* =* 12, and once again visualize the sample distribution. Use a two-tailed hypothesis test with
_{D} = 0.

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

Expert Solution

**a.**

To determine

Sample came from a population with
μ D = 0 .

**Given info:**

Numbers of participants in the sample are

Sample standard deviation is

**Calculation:**

*Null Hypothesis:* Sample came from a population with

*Alternate Hypothesis:* Sample came from a population with

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

Expert Solution

**b.**

To determine

Sample came from a population with
μ D = 0 .

Expert Solution

**c.**

To determine

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

Essentials of Statistics for the Behavioral Sciences

Show all chapter solutions

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