Let m equal the median of the posttest grip strengths in the right arms of male freshmen in a study of health dynamics. We shall use observations on n = 15 such students to test the null hypothesis H0: m = 50 against the alternative hypothesis H1: m > 50.
(a) Using the Wilcoxon statistic, define a critical region that has an approximate significance level of α = 0.05.
(b) Given the observed values

What is your conclusion?
(c) What is the p-value of this test?

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58.0 52.5 46.0 57.5 52.0 45.5 65.5 71.0 57.0 54.0 48.0 58.0 35.5 44.0 53.0