SOLUTION: Two different varieties of mushroom were grown on 6 and 7 plots of the same size. At the end of the crop run, the following quantities of yield were observed for the two varieties:

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Question 1026006: Two different varieties of mushroom were grown on 6 and 7 plots of the same size. At the end of the crop run, the following quantities of yield were observed for the two varieties: Variety I 16 12 11 13 15 17 Variety II 11 11 10 15 14 16 10 Using the Mann-Whitney U test, verify at 0.05 level of significance whether the two varieties of mushroom produce the same yield.
Answer by robertb(5830) About Me  (Show Source):
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The array of the 13 values are as follows:
10, 10, 11, 11, highlight%2811%29, highlight%2812%29, highlight%2813%29, 14, 15, highlight%2815%29, highlight%2816%29, 16, highlight%2817%29
Their corresponding ranks are
1.5, 1.5, 4, 4, 4, 6, 7, 8, 9.5, 9.5, 11.5, 11.5, 13
(The highlighted boxed numbers are the values from Variety 1.)
The sum of corresponding ranks of the highlighted numbers is T = 4+ 6+7+9.5+11.5 + 13 = 51
==>
Looking at the critical values table of the Mann-Whitney U with n%5B1%5D+=+6 and n%5B2%5D=++7 and alpha+=+0.05, the critical value would be 6.
Since U = 12 > 6, we conclude that there is significant difference between the two yields, and the two varieties of mushrooms do NOT produce the same yield.