A random sample of 15 male students and an independent random sample of 15 female students were asked to write essays at the conclusion of a writing course. These essays were then ranked from 1 (best) to 30 (worst) by a professor. The following rankings resulted: Male 26 24 15 16 8 29 12 6 18          11 13 19 10 28 7 Female 22 2 17 25 14 21 5 30 3 9              4 1 27 23 20 Test the null hypothesis that in the aggregate the two genders are equally ranked against a two-sided alternative.

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A random sample of 15 male students and an independent random sample of 15 female students were asked to write essays at the conclusion of a writing course. These essays were then ranked from 1 (best) to 30 (worst) by a professor. The following rankings resulted:
Male 26 24 15 16 8 29 12 6 18
         11 13 19 10 28 7
Female 22 2 17 25 14 21 5 30 3 9
             4 1 27 23 20

Test the null hypothesis that in the aggregate the two genders are equally ranked against a two-sided alternative.

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