Answer: Comparing Two Variances In Exercises 1926, (a) identify the claim and state H0

Chapter 10, Problem 25

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Comparing Two Variances In Exercises 1926, (a) identify the claim and state H0 and Ha, (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, and the populations are normally distributed. If convenient, use technology.Annual Salaries An employment information service claims that thestandard deviation of the annual salaries for actuaries is greater in New Yorkthan in California. You select a sample of actuaries from each state. Theresults of each survey are shown in the figure. At a = 0.05, can you supportthe services claim? (Adapted from Americas Career InfoNet)s2 = $29,000n2 = 61Actuaries inCalifornias1 = $39,700n1 = 41Actuaries inNew Yorks1 = $33,000n1 = 28Public relationsmanagers inFloridaPublic relationsmanagers inLouisianas2 = $18,200n2 = 24FIGURE FOR EXERCISE 25 FIGURE FOR EXERCISE 26