Suppose that you want to perform a hypothesis test to compare the means of two populations, using independent simple random samples. Assume that the two distributions of the variable under consideration have the same shape, but are not normal, and both sample sizes are large. Answer the following questions and explain your answers.
a. Is it permissible to use the pooled t-test to perform the hypothesis test?
b. Is it permissible to use the Mann-Whitney test to perform the hypothesis test?
c. Which procedure is preferable, the pooled t-test or the Mann- Whitney test?