Asked by Brianna Ellis on May 31, 2024

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You are performing the Wilcoxon rank-sum test. The 10th through 12th values in an ordered array of pooled sample data all equal $100, while the 9th value is less than $100 and the 13th value is more than $100. The appropriate ranks for the three $100 values are:

A) 9, 9, 9
B) 10, 10, 10
C) 11, 11, 11
D) 12, 12, 12
E) 13, 13, 13

Wilcoxon Rank-sum Test

A nonparametric test that compares two independent samples to assess whether their population mean ranks differ, used when data are not normally distributed.

  • Learn the steps for undertaking a Wilcoxon rank sum test and evaluating its conclusions.
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AN
Andrew NorcrossJun 01, 2024
Final Answer :
C
Explanation :
In the Wilcoxon rank-sum test, when there are ties (identical values), the ranks assigned to these values are the average of the ranks that would have been assigned if the values were slightly different. Since the three $100 values are the 10th, 11th, and 12th in the ordered array, their ranks should be averaged: (10+11+12)/3 = 11. Therefore, each of the three $100 values should be assigned the rank of 11.