Question: A study is designed to test whether or not going for a 15-minute walk at least three times a week reduces sleep-onset insomnia. A group of five people who suffer from sleep-onset insomnia were randomly selected and the number of minutes it took them to fall asleep was measured for one week. The average time is listed below as “before”. After one month of going for a 15-minute walk at least three times a week, the number of minutes it took them to fall asleep was measured again for one week. These averages are listed below as “after”.

Name Before After

Arthur 78 50

Barry 32 35

Crystal 68 51

Drew 82 39

Ellen 95 89

At the .05 significance level, test the claim that going for a 15-minute walk at least three times a week makes zero difference in the amount of time it takes to fall asleep.

Ha: \[{{\mu }_{D}}=0\]

H1:

=0.05

Distribution: t-distribution

Test Statistic: t = -2.248

P-value: p = 0.0878

Decision on H0: Fail to reject

Interpretation: We don't have enough evidence to support the claim that going for a 15-minute walk at least three times a week makes zero difference in the amount of time it takes to fall asleep.