Use the Kruskal€“Wallis H test and the Minitab output in Figure 17.5 to compare the bottom (B), middle (M), and top (T) display heights using the data in Table 17.10. Use α = .05. Then, repeat the analysis if the first sales value for the middle display height is found to be incorrect and must be removed from the data set.

Use the given independent samples to perform the Kruskal€“Wallis H test of the null hypothesis H₀ that the corresponding populations are identical versus the alternative hypothesis H_a that at least two populations differ in location.

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Minitab Output of the Kruskal-Wallis H Test for the Bakery Sales Data FIGURE 17.5 Kruskal-Wallis Test on Bakery Sales Display N Median Ave Rank Bottom 6 55.75 9.2 -0.19 Middle 6 77.15 15.5 3.37 Top Overall 18 51.50 3.8 -3.18 9.5 P = 0.001 H = 14.36 DF = 2 Bakery Sales Study Data (Sales in Cases) Os BakeSale TABLE 17.10 Shelf Display Height Bottom (B) Middle (M) Top (T) 58.2 73.0 52.4 53.7 78.1 49.7 55.8 75.4 50.9 55.7 76.2 54.0 52.5 78.4 52.1 58.9 82.1 49.9