Test Scores An instructor who taught an online statistics course and a classroom course feels that the variance of the final exam scores for the students who took the online course is greater than the variance of the final exam scores of the students who took the classroom final exam. The following data were obtained. At =α0.01 is there enough evidence to support the claim? Use σ21 for the variance of the online scores. Use the critical value method and tables. State the Hypothesis and identify the claim. H0: Claim or not a Claim  H1: Claim or not a Claim This test is one-tailed or two-tailed Find the Critical Value: Compute the test value: t= Make the decision to reject or not Summarize the results. Online Course Classroom Course =s13.7 =s22.1 =n125 =n216

A First Course in Probability (10th Edition)
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Test Scores An instructor who taught an online statistics course and a classroom course feels that the variance of the final exam scores for the students who took the online course is greater than the variance of the final exam scores of the students who took the classroom final exam. The following data were obtained. At =α0.01 is there enough evidence to support the claim? Use σ21 for the variance of the online scores. Use the critical value method and tables.

State the Hypothesis and identify the claim. H0: Claim or not a Claim  H1: Claim or not a Claim

This test is one-tailed or two-tailed

Find the Critical Value:

Compute the test value: t=

Make the decision to reject or not

Summarize the results.

Online Course Classroom Course
=s13.7
=s22.1
=n125
=n216
Expert Solution
Step 1: Set the hypotheses:

Claim: the variance of the final exam scores for the students who took the online course is greater than the variance of the final exam scores of the students who took the classroom final exam.

The null and alternative hypotheses are:

H subscript 0 colon sigma subscript 1 squared equals sigma subscript 2 squared space open parentheses N o t space a space c l a i m close parentheses
H subscript 1 colon sigma subscript 1 squared greater than sigma subscript 2 squared space open parentheses C l a i m close parentheses

This test is one-tailed (right-tailed) test as the direction of alternative hypothesis is ">"

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