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We use Mann-Whitney U test for testing equality of means of two populations if .................... .

  • A.The samples are from normal populations with unknown variances.
  • B.The samples are from non-normal populations.
  • C.The samples are from normal populations with known variances.
  • D.The samples are unequal in size.

Answer: B

The Mann-Whitney U test is used when the samples are from non-normal populations.

It is a non-parametric test that compares two independent samples using the ranks of the pooled observations, so it does not require the populations to be normal. It is the standard alternative to the two-sample t test when the normality assumption fails.

If the populations are normal, the t test (unknown variances) or z test (known variances) is used instead. Unequal sample sizes do not call for the U test; both the t test and the U test handle them.

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