Example 8 on the GRE workshop used the Wilcoxon signed-ranks test to evaluate the score differences of 0.5, -0.5, and 1.5. Suppose the test differences were 5.5, -0.5, and 1.5 instead of 0.5 -0.5, and 1.5.
a. State the hypotheses and find the P-value for the one-sided Wilcoxon signed-ranks test for evaluating the effect of the workshop. Interpret.
b. Compare results to those in Example 8 and indicate what this tells you about the effect that outliers have on this nonparametric statistical method.