In the previous exercise, the largest observation is 41, which is in the third group.

The sample means can be seen to be 10, 20.9, and 31.1, respectively, and the ANOVA F test in chapter 10 rejects with α = .05. If the largest observation is made even larger, eventually the F test will not reject, even though the sample mean of the third group increases as well. Is the same true when using the Kruskal-Wallis test?