The table shows the energy consumed (in millions of Btu) in one year for a random sample of households from four U.S. regions. At \(\alpha=0.01\), can you conclude that the energy consumed is different in at least one region?

(a) perform a Kruskal-Wallis test.

(b) perform a one-way ANOVA test, assuming that each population is normally distributed and the population variances are equal.

(c) Compare the results.

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Region Energy consumed (in millions of Btu) Northeast 61 95 140 127 93 97 84 123 89 163 Midwest 59 158 169 140 95 187 123 104 88 37 72 South 86 35 67 86 142 69 65 62 West 81 39 85 35 113 46 125 70 77 63