Suppose that you want to perform a hypothesis test for a population mean. Assume that the variable under consideration is normally distributed and that the population standard deviation is unknown.
a. Is it permissible to use the t-test to perform the hypothesis test? Explain your answer.
b. Is it permissible to use the Wilcoxon signed-rank test to perform the hypothesis test? Explain your answer.
c. Which procedure is better to use, the t-test or the Wilcoxon signed-rank test? Explain your answer.