Twenty three applicants for a position are interviewed by a suitability test and their performance scores are listed below:

Group A: 7 11 9 4 8 6 12 11 9 10 11

Group B: 8 8 13 14 11 10 12 14 13 9 10 9

Use the Mann Whitney U-test to determine whether there was a difference in the performance scores of two groups X and Y at 5% level of significance.

The Mann-Whitney U-test, also known as the Wilcoxon rank-sum test, is a non-parametric test used to determine if there is a significant difference between two independent groups. In this case, we are interested in comparing the performance scores of two groups, Group A (X) and Group B (Y), using the Mann-Whitney U-test at a 5% level of significance.

The Mann-Whitney U-test involves the following steps:

1. Combine the data: Combine the data from both groups and rank them in ascending order. Assign ranks to each observation, and if there are ties, assign the average rank to tied observations.

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