Question: Suppose that independent simple random samples are taken from two populations to compare their means. Further suppose that the two distributions of the variable under

Suppose that independent simple random samples are taken from two populations to compare their means. Further suppose that the two distributions of the variable under consideration have the same shape.
a. Would the non-pooled t-test ever be the procedure of choice in these circumstances? Explain your answer.
b. Under what conditions would the pooled t-test be preferable to the Mann-Whitney test? Explain your answer.

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