Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two

Cheyanne Leigh

Cheyanne Leigh

Answered question

2021-06-30

Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.

Answer & Explanation

Arham Warner

Arham Warner

Skilled2021-07-01Added 102 answers

Pooled t-test: both normal and equal population standard deviation (thus same shape)
Nonpooled t-test: both normal and unequal population standard deviations (thus not the same shape)
Mann-Whitney: same shape but not normal.
Thus it is best to use the Mann-Whitney test (and it is also resistant to outliers).

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