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,

(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. If convenient, use technology.

Transcribed Image Text:

Chicago Dallas Miami Denver San Diego Seattle 43,581 36,524 49,357 37,790 48,370 57,678 37,731 33,709 53,207 38,970 45,470 48,043 46,831 40,209 40,557 42,990 43,920 45,943 53,031 51,704 52,357 46,290 54,670 52,543 52,551 40,909 44,907 4956541,770 57,418 42,131 53,259 48,757 40,390 47,269 53,557