The standard deviation of math test scores at one high school is 16.1 points. A teacher claims that the standard deviation of girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a sample standard deviation of 14.6. Use a significance level of 0.01 to test the teacher's claim.
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Step 1
State the null hypothesis (H0) and the alternative hypothesis (H1). H0: σ = 16.1 (The standard deviation of girls' test scores is equal to 16.1) H1: σ < 16.1 (The standard deviation of girls' test scores is less than 16.1) Show more…
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The standard deviation of math test scores at one high school is 16.1 points. A teacher claims that the standard deviation of girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a sample standard deviation of 14.6. Use this sample data along with a significance level of 0.01 to test the teacher's claim.
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