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 used for independent samples, while in this case, the sample sizes are equal and the data is paired. Therefore, the appropriate test would be the Wilcoxon signed-rank test. Additionally, the assumption of normality is not required for the Wilcoxon signed-rank test.

The Makers of Furnace Filters Recently Conducted a Test to Determine