An insurance underwriter claims that the number of days patients spend in the hospital is different in at least one region of the United States. The table shows the numbers of days randomly selected patients spent in the hospital in four U.S. regions. At \(\alpha=0.01\), can you support the underwriter's claim?

(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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1 6 7 Region 00 Northeast 8 Midwest 5 6 6 Number of days 3 5 5 11 3 00 4 3 9 1 4 9 6 3 4 South 5 8 1 5 8 7 5 1 West 2 3 6 6 5 4 3 6 5