The Mann-Whitney L7 test is equivalent to the Wilcoxon rank-sum test for independent samples in the sense that it applies to the same situations and always leads to the same conclusions. In the Mann-Whitney U test we calculate

where

Show that if the expression for U is substituted into the preceding expression for z, we get the same test statistic (with opposite sign) used in the Wilcoxon rank-sum test for two independent samples.

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