A physician wants to determine whether an experimental medication affects an individual's heart rate. The physician randomly selects 15 patients and measures the heart rate of each. The subjects then take the medication and have their heart rates measured after one hour. The table shows the results. At \(\alpha=0.05\), can the physician conclude that the experimental medication affects an individual's heart rate?

(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 1 2 2 3 456 7 00 8 Heart rate (before) 72 81 75 76 79 74 65 67 Heart rate (after) 73 80 75 79 74 76 73 67 Patient 9 1 10 11 12 13 14 15 Heart rate (before) 76 83 66 75 76 78 68 Heart rate (after) 74 77 70 77 76 75 74