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If the underlying distributions are known to be symmetric, we can use the Wilcoxon rank-sum test to ...

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If the underlying distributions are known to be symmetric, we can use the Wilcoxon rank-sum test to ...

If the underlying distributions are known to be symmetric, we can use the Wilcoxon rank-sum test to compare two independent populationmeans.This is so because:

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the rank-sum test is designed as a test of two independent means.

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the mean and the median have the same value for all symmetric distributions.

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the mean is the parameter that is usually evaluated when using nonparametric procedures.

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the difference in two population means will always be normally distributed and the Wilcoxon rank-sum test is used to test normally distributed variables.

Textbook

Introductory Statistics: A Problem-Solving Approach

Edition: 3^rd

Author: Kokoska

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