The significance level for a Wilcoxon signed rank sum test is 0.05. The alternative hypothesis is stated as: The location of population 1 is different from the location of population 2. The appropriate critical value for a sample of size 20 (that is the number of nonzero differences is 20) is:
A) 37
B) 43
C) 52
D) 60
E) 48

Question

Quizplus · Accepted Answer

To find the appropriate critical value, we need to refer to the Wilcoxon signed rank sum critical values table.

First, we identify the sample size, which is 20. Then, we locate the significance level of 0.05 in the table. Going down the column, we find the critical value closest to the number of nonzero differences, which is 20 in this case.

The closest critical value is 52, which is therefore the appropriate choice. So, the answer is C.

The Significance Level for a Wilcoxon Signed Rank Sum Test