A sample of size 8 is selected at random from a continuous symmetric distribution. A 95% Wilcoxon signed-rank interval (actually 94.5%) has the form
A) $\bar { x } _ { ( 32 ) , } \bar { x } _ { ( 72 ) }$
B) $\bar { x } _ { ( 32 ) } , \bar { x } _ { ( 36 ) }$
C) $\bar { x } _ { [ ( 5 ) } , \bar { x } _ { [ 32 ) }$
D) $\bar { x } _ { ( 4 ) } , \bar { x } _ { (5 ) }$
E) $\bar { x } _ { ( 36 ) } , \bar { x } _ { ( 72 ) }$

Question

Quizplus · Accepted Answer

The 95% Wilcoxon signed-rank interval is formed by the sample median and the sample median plus or minus the critical value from the Wilcoxon signed-rank table. For a sample size of 8, the critical value is 32. Therefore, the 95% Wilcoxon signed-rank interval is $\bar { x } _ { [ ( 5 ) } , \bar { x } _ { [ 32 ) }$.

A Sample of Size 8 Is Selected at Random from a Continuous