Let m equal the median of the posttest grip strengths in
Chapter 8, Problem 6E(choose chapter or problem)
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 \(H_{0}: m=50\) against the alternative hypothesis \(H_{1}: m>50\).
(a) Using the Wilcoxon statistic, define a critical region that has an approximate significance level of \(\alpha=0.05\).
(b) Given the observed values
\(\begin{array}{llllllll} 58.0 & 52.5 & 46.0 & 57.5 & 52.0 & 45.5 & 65.5 & 71.0 \\ 57.0 & 54.0 & 48.0 & 58.0 & 35.5 & 44.0 & 53.0 & \end{array}\)
what is your conclusion?
(c) What is the p-value of this test?
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