A state school administrator claims that the standard deviations of U.S. history assessment test scores for eighth-grade students are the same in Districts 1 and 2. A sample of 10 test scores from District 1 has a standard deviation of 30.9 points, and a sample of 13 test scores from District 2 has a standard deviation of 27.2 points. At α = 0.01, can you reject the administration’s claim? a) Identify the claim and state the null and alternative hypothesis b) Find the critical value and identify the rejection region c) Find the test statistic F d) Decide whether to accept or reject the null hypothesis

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A state school administrator claims that the standard deviations of U.S. history assessment test scores for eighth-grade students are the same in Districts 1 and 2. A sample of 10 test scores from District 1 has a standard deviation of 30.9 points, and a sample of 13 test scores from District 2 has a standard deviation of 27.2 points. At α = 0.01, can you reject the administration’s claim?


a) Identify the claim and state the null and alternative hypothesis
b) Find the critical value and identify the rejection region
c) Find the test statistic F
d) Decide whether to accept or reject the null hypothesis

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