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 Kruskal-Wallis test is used,the critical value for an alpha = .05 is 7.814

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 Kruskal-Wallis test is used,the critical value for an alpha = .05 is 7.814

Quizplus · Accepted Answer

The Kruskal-Wallis test is used to determine if there is a significant difference between the medians of two or more groups. The null hypothesis is that all groups have the same median. The critical value for an alpha of .05 with 4 groups (filters) and 6 observations per group is 7.814. Therefore, if the calculated test statistic is greater than 7.814, we reject the null hypothesis and conclude that there is a significant difference between the groups. As the question does not provide the calculated test statistic, we cannot determine if the null hypothesis is rejected or not.

The Makers of Furnace Filters Recently Conducted a Test to Determine