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

Chapter 10, Problem 24

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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.U.S. History Assessment Tests A state school administrator claims that thestandard deviations of U.S. history assessment test scores for eighth-gradestudents are the same in Districts 1 and 2. A sample of 10 test scores fromDistrict 1 has a standard deviation of 30.9 points, and a sample of 13 testscores from District 2 has a standard deviation of 27.2 points. At a = 0.01,can you reject the administrators claim? (Adapted from National Center forEducation Statistics)