A sample of 9 people had their mood measured at two time points. Mood was measured using a validated well-being questionnaire that scores someone's mood on a scale from 0 to 20 with higher scores indicating better or more positive mood. For all people sampled, mood was measured prior to and following a 30 minute vigorous exercise program. The sample data are below. The sample standard deviation of the differences between the post-exercise mood and pre-exercise mood is 2.42. Using a 0.05 significance level, you need to test the claim that exercise improves mood as measured by the difference between post-exercise mood and pre-exercise mood.
a. Two-sample z-test
b. Two-sample (pooled variance) t-test
c. Two-sample (unpooled variance) t-test
d. Wilcoxon rank-sum test
e. Paired t-test
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