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.

hommequidort0h 2022-09-26 Answered
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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Answers (1)

lufi8c
Answered 2022-09-27 Author has 11 answers
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
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