# Question: Let m equal the median of the posttest grip strengths

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?

(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?

**View Solution:**## Answer to relevant Questions

A pharmaceutical company is interested in testing the effect of humidity on the weight of pills that are sold in aluminum packaging. Let X and Y denote the respective weights of pills and their packaging (in grams), when the ...Let X equal the butterfat production (in pounds) of a Holstein cow during the 305-day milking period following the birth of a calf. Assume that the distribution of X is N(μ,1402). To test the null hypothesis H0: μ = 715 ...Assume that the weight X in ounces of a “10- ounce” box of cornflakes is N(μ, 0.03). Let X1, X2, . . . , Xn be a random sample from this distribution. (a) To test the hypothesis H0: μ ≥ 10.35 against the alternative ...For determining the half-lives of radioactive isotopes, it is important to know what the background radiation is for a given detector over a certain period. A γ-ray detection experiment over 300 one-second intervals yielded ...Ledolter and Hogg (see References) report the comparison of three workers with different experience who manufacture brake wheels for a magnetic brake. Worker A has four years of experience, worker B has seven years, and ...Post your question