The makers of furnace filters recently conducted a test to determine whether the median number of particulates that would pass through their four leading filters was the same.A random sample of 6 of each type of filter was used with the following data being recorded: If the managers are unwilling to assume that the populations are normally distributed,the appropriate test in this case would be the Mann-Whitney U test.

Question

The makers of furnace filters recently conducted a test to determine whether the median number of particulates that would pass through their four leading filters was the same.A random sample of 6 of each type of filter was used with the following data being recorded:  If the managers are unwilling to assume that the populations are normally distributed,the appropriate test in this case would be the Mann-Whitney U test.

Quizplus · Accepted Answer

The Mann-Whitney U test is not appropriate for testing whether the median number of particulates that pass through two or more filters is the same. It is a nonparametric test used for comparing two independent groups, and assumes that the populations have similar shapes and variances. A more appropriate test for this situation would be the Kruskal-Wallis test or the Wilcoxon rank-sum test.

The Makers of Furnace Filters Recently Conducted a Test to Determine