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:


Filter 1 Filter 2 Filter 3 Filter 4
40 100 165 55
25 110 90 20
70 89 40 90
47 67 200 105
55 77 103 90
88 102 110 120

If the Kruskal-Wallis test is used with an alpha = .01, the null hypothesis should be rejected and the managers should conclude that the four filters do not allow an equal median number of particulates.

Answer

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