The table shows the sales prices for a random sample of apartment condominiums and cooperatives in four U.S. regions. At \(\alpha=0.01\), can you conclude that the distribution of the sales prices in at least one region is different from the others?

(a) identify the claim and state \(H_{0}\) and \(H_{a}\),

(b) decide which nonparametric test to use,

(c) find the critical value(s),

(d) find the test statistic,

(e) decide whether to reject or fail to reject the null hypothesis,

(f) interpret the decision in the context of the original claim.

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Region Sales price (in thousands of dollars) Northeast 257.3 250.3 242.7 275.0 270.7 254.8 Midwest 166.9 183.1 178.9 153.9 264.2 243.4 148.5 169.9 163.3 165.1 South 181.3 156.7 155.6 170.4 175.3 196.3 178.4 166.8 West 320.2 303.6 357.4 331.7 291.6 327.4 321.7 308.0