A medical researcher wants to determine whether a new drug affects the number of headache hours experienced by headache sufferers. To do so, the researcher randomly selects seven patients and asks each to give the number of headache hours (per day) each experiences before and after taking the drug. The table shows the results. At \(\alpha=0.05\), can the researcher conclude that the new drug affects the number of headache hours?

(a) identify the claim and state \(H_{0}\) and \(H_{a}\).

(b) decide whether to use a Wilcoxon signed-rank test or a Wilcoxon rank sum test.

(c) find the critical value(s).

(d) find the test statistic.

(e) decide whether to reject or fail to reject the null hypothesis.

(f) interpret the decision in the context of the original claim.

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Patient Headache hours (before) 1 2 3 4 5 6 7 0.8 2.4 2.8 2.6 2.7 0.9 1.2 Headache hours (after) 1.6 1.3 1.6 1.4 1.5 1.6 1.7