Rank-sum test and t-test: The following data, taken from Exercise 12 in Section 11.1, are recovery times for seven patients who received a new postsurgical treatment and seven others (the controls) who received the standard treatment. Assume the populations are symmetric, so that their means and medians are equal.

Let m1 denote the median recovery time for the patients who received the new treatment, and let m2 represent the median recovery time for the controls. Use both the rank-sum test and the Student’s t-test to test H0 : m1 = m2 versus H1 : m1

Which test has the smaller P-value? Why would you expect this to be the case?

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Treatment: 12 13 15 19 20 21 24 Control: 18 23 24 24 30 32 35 39