Question

Please let me know if there is a significant evidence to show that the populations are not equal. Thank you.

Step 1

**Mann-Whitney U Test:**

Mann-Whitney U test is a non-parametric test used to check for differences between two sets of observations, usually based on samples taken from two separate populations.

In this procedure, the sample observations from the two populations are first combined and given a combined rank.

Suppose the number of observations in sample 1 is *n*_{1} and the number of observations in sample 2 is *n*_{2}.

Let *R*_{1} be the sum of ranks of the sample 1 observations and *R*_{2} be the sum of ranks of the sample 2 observations.

Then, the Mann-Whitney U test statistic is the smaller of *U*_{1} and *U*_{2}, defined as follows:

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