Use the level and power values for the paired t test and Wilcoxon signed-rank test given in Table 6.18 to answer the following questions:
a. Suppose a level .05 test is to be applied to a paired data set that has differences that are highly skewed to the right. Will the Wilcoxon signed-rank test’s “actual” level or the paired t test’s actual level be closer to .05? Justify your answer.
b. Suppose a boxplot of the differences in the pairs from a paired data set has many outliers, with an equal number above and below the median. If a level α = .05 test is applied to the differences, will the Wilcoxon signed-rank test’s “actual” level or the paired t test’s actual level be closer to .05? Justify your answer.