Math 227 - Statistics » Winter 2021 » Quiz Sec 9.5

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Question #1
The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a standard deviation of 12.9. Use a significance level of 0.01 to test the teacher's claim. Step 1: Set up the Null and Alternative Hypothesis
A.   Ho: σ = 16.1 H1: σ > 16.1
B.   Ho: σ = 16.1 H1: σ < 16.1
C.   Ho: σ = 16.1 H1: σ ≠ 16.1
Question #2
The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a standard deviation of 12.9. Use a significance level of 0.01 to test the teacher's claim. Compute test statistics. Round your answer to three decimal places
A.   13.482
B.   13.842
C.   13.248
Question #3
The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a standard deviation of 12.9. Use a significance level of 0.01 to test the teacher's claim. Compute critical value. Round your answer to three decimal places.
A.   8.897
B.   8.987
C.   8.887
Question #4
The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a standard deviation of 12.9. Use a significance level of 0.01 to test the teacher's claim.
A.   Reject the Ho
B.   Fail to reject the Ho
Question #5
The standard deviation of math test scores at one high school is 16.1. A teacher claims that the standard deviation of the girls' test scores is smaller than 16.1. A random sample of 22 girls results in scores with a standard deviation of 12.9. Use a significance level of 0.01 to test the teacher's claim.
A.   There is not sufficient evidence to support the claim that the standard deviation of the girls' test scores is smaller than 16.1.
B.   There is sufficient evidence to support the claim that the standard deviation of the girls' test scores is smaller than 16.1. 

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