Chegg. Study TEXTBOOK SOLUTIONS EXPERT Q&A; Sea Aa Aa A nutritionist gives an he

Question

Chegg. Study TEXTBOOK SOLUTIONS EXPERT Q&A; Sea Aa Aa A nutritionist gives an herbal supplement to a randomly selected group of five volunteers. She gives a placebo to five other randomly selected volunteers. She wants to compare the volunteers' scores on a memory test to see if the herbal supplement is effective in improving memory The nutritionist wants to use a Mann-Whitney U-test to compare the ranks of the scores. First the nutritionist rank-orders all 10 scores such that a rank of 1 corresponds to the volunteer with the lowest score on the memory test and a rank of 10 corresponds to the volunteer with the highest score. Suppose she cails the group that takes the herbal supplement group A and the group that takes the placebo group 8. In the following table are the ranks of the scores and the group to which the volunteer with that rank belongs. Fill in the missing "Points for Sample A" and "Points for Sample B." 10 A U for group A u) is The U for group 8 (Un)s The fial Mann- Whutney U for the test Type here to search

Explanation / Answer

The points allotted to each rank of a sample is the number of ranks of the other group below it. The complete table is as shown below:

UA = 4 + 3 + 3 + 2 = 12

UB = 5 + 4 + 2 + 1 + 1 = 13

U = min (UA, UB ) = 12

Rank Sample Points for Sample A Points for sample B 1 B                 -   5 2 A 4 -   3 B                 -   4 4 A 3 -   5 A 3 -   6 B                 -   2 7 A 2 -   8 B                 -   1 9 B                 -   1 10 A 0 -  

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