A research team wants to investigate the usefulness of a relaxation program for reducing levels of anxiety in individuals experiencing stress. They identify 22 people at random from a group of 100 who have "high stress" jobs. The 22 people are given a stress test prior to starting the relaxation program. After completing the relaxation program, they are once again given the stress test. The two tests resulted in a Pearson’s r value of 0.68. The summarized results appear below where higher scores indicate greater anxiety. Pretest: n = 22, mean = 31, standard deviation = 6.63 Posttest: n = 22, mean = 26, standard deviation = 6.20 A: What type of test should you conduct? One-sample t test, Independent 2-sample t test, Paired sample t test? B. Should you reject or retain the null hypothesis using an alpha level of 0.05 (two tailed test)? C: Construct a 99% confidence interval around the anticipated difference. D: Construct an 80% confidence interval around the anticipated difference. E: Calculate a Cohen’s d effect size value.

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Author:Amos Gilat
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A research team wants to investigate the usefulness of a relaxation program for reducing levels of anxiety in individuals experiencing stress. They identify 22 people at random from a group of 100 who have "high stress" jobs. The 22 people are given a stress test prior to starting the relaxation program. After completing the relaxation program, they are once again given the stress test. The two tests resulted in a Pearson’s r value of 0.68. The summarized results appear below where higher scores indicate greater anxiety.
Pretest: n = 22, mean = 31, standard deviation = 6.63
Posttest: n = 22, mean = 26, standard deviation = 6.20
A: What type of test should you conduct? One-sample t test, Independent 2-sample t test, Paired sample t test?
B. Should you reject or retain the null hypothesis using an alpha level of 0.05 (two tailed test)?
C: Construct a 99% confidence interval around the anticipated difference.
D: Construct an 80% confidence interval around the anticipated difference.
E: Calculate a Cohen’s d effect size value.

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