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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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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