Question: Suppose that you want to perform a hypothesis test based on a simple random paired sample to compare the means of two populations and you

Suppose that you want to perform a hypothesis test based on a simple random paired sample to compare the means of two populations and you know that the paired-difference variable has a symmetric that is far from normal.
a. Is use of the paired t-test acceptable if the sample size is small or moderate? Why or why not?
b. Is use of the paired t-test acceptable if the sample size is large? Why or why not?
c. Is use of the paired Wilcoxon signed-rank test acceptable? Why or why not?
d. If both the paired t-test and the paired Wilcoxon signed-rank test are acceptable, which test is preferable? Explain your answer.

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