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)...

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.