The table shows the salaries of a sample of individuals from six large metropolitan areas. At α = 0.05, can you conclude that the mean salary is different in at least one of the areas?

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value and identify the rejection region, 

(c) Find the test statistic F, 

(d) Decide whether to reject or fail to reject the null hypothesis, and 

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal.

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Chicago Dallas Miami Denver San Diego Seattle 48,581 42,524 49,357 48,790 53,370 63,678 42,731 39,709 53,207 49,970 50,470 54,043 51,831 46,209 40,557 53,990 48,920 51,943 58,031 57,704 52,357 57,290 59,670 58,543 60,565 57,551 46,909 44,907 46,770 63,418 47,131 59,259 48,757 51,390 53,269 53,557