Asked by Aikunduz Baltabaeva on Jul 28, 2024

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You are performing the Wilcoxon rank-sum test. The 13th through 15th values in an ordered array of pooled sample data all equal $180 (while the 12th value is less and the 16th value is more) . The appropriate ranks for the three $180 values are:

A) 13, 14, 15
B) 14, 14, 14
C) 12.5, 13, 14.5
D) 12.5, 13, 15
E) 13, 13, 13

Wilcoxon Rank-sum Test

A nonparametric statistical test used to compare two independent samples, based on the ranks of their values, to determine if there are significant differences between them.

Ordered Array

A sequence of elements arranged in ascending or descending order, often used in computer programming for sorting and searching algorithms.

Pooled Sample Data

Combining data from different sources or groups to increase statistical power or assess overall effects.

  • Comprehend the treatment of tied ranks in nonparametric testing scenarios.
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JT
Jayden ThorpeAug 04, 2024
Final Answer :
B
Explanation :
The Wilcoxon rank-sum test involves ranking all the values in the pooled sample data, and then summing the ranks for the values in each group being compared. Because the values in question are all the same, they should all have the same rank. In this case, there are three such values (13th through 15th), so they should all be assigned the same rank. The rank assigned to a value is the average of the ranks that would be assigned if there were ties. Therefore, the ranks for the $180 values are all 14.