An employment information service claims that the standard deviation of the annual salaries for public relations managers is greater in Florida than in Louisiana. You select a sample of public relations managers from each state. The results of each survey are shown in the figure. At α = 0.05, can you support the service’s claim?

(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, and the populations are normally distributed. If convenient, use technology.

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Public relations managers in Florida s, = $33.000 nl = 28 Public relations managers in Louisiana s, = $ 18,200