What is the pvalue of this testSolutionMINITAB is used Let m

What is the p-value of this test?

Solution

MINITAB is used

Let m equal the median of the posttest grip stengths in the right arms of male freshman in a study of healthy dynamics. We shall use observations on n=10 such students to test the null hypothesis against

The table value is 10 ( for one sided test)

The rejection region is w < 10 , then reject null hypothesis.

b. Given the observed values 58 52 46 57 53 45 65 71 59 35

What is your conclusion?

W=39.5

n=10

The null hypothesis is not rejected.

We conclude that the median is equal to 50.

c. What is the p-value of this test?

P=0.121

MINITAB output

Wilcoxon Signed Rank Test: C1

Test of median = 50.00 versus median > 50.00

        N for   Wilcoxon         Estimated

     N   Test Statistic      P     Median

C1 10     10       39.5 0.121      55.00