Suppose that you want to perform a hypothesis test to compare the means of two populations using independent simple random samples. In which of the situations below is it reasonable to use The Mann-Whitney test?
A)The distributions of the variable are not normal, and they do not have the same shape.
B)The distributions of the variable are not normal, and they have the same shape.
C)The distributions of the variable are normal, and the population standard deviations are not equal.
D)A and B

Question

Suppose that you want to perform a hypothesis test to compare the means of two populations using independent simple random samples. In which of the situations below is it reasonable to use The Mann-Whitney test? 
A)The distributions of the variable are not normal, and they do not have the same shape.
B)The distributions of the variable are not normal, and they have the same shape.
C)The distributions of the variable are normal, and the population standard deviations are not equal.
D)A and B

Quizplus · Accepted Answer

The Mann-Whitney test is a non-parametric test used when the assumptions of normality are not met but is most reliable when the distributions have the same shape.

Suppose That You Want to Perform a Hypothesis Test to Compare