To compare the means of two populations which cannot be assumed to be normally distributed and only ordinal-level data is available from two independent samples,instead of the t-test for independent samples we should use the Mann-Whitney U test.

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The Mann-Whitney U test is a non-parametric test that is used to compare the means of two populations when only ordinal-level data is available and the populations cannot be assumed to be normally distributed. It is a suitable alternative to the t-test for independent samples in such cases.

To Compare the Means of Two Populations Which Cannot Be