# Suppose that, for two populations, the distributions of the variable under consideration have the same shape. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. In each case, decide whether you would use the pooled t-test or the Mann-Whitney test and give a reason for your answer. You know that the distributions of the variable are a. normal. b. not normal.

Suppose that, for two populations, the distributions of the variable under consideration have the same shape. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. In each case, decide whether you would use the pooled t-test or the Mann-Whitney test and give a reason for your answer. You know that the distributions of the variable are a. normal. b. not normal.
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Use the pooled t-test if both distributions are normal distribution and use the Mann-Whitney test if both distributions have the same shape but are not normal.
a. Pooled t-test b. Mann-Whitney test
Result:
a. Pooled t-test b. Mann-Whitney test