A professor believes that the variance of ACT composite scores of honor students is less than that of all students who take the ACT. The sample variance of the ACT composite scores for a random sample...

A professor believes that the variance of ACT composite scores of honor students is less than that of all students who take the ACT. The sample variance of the ACT composite scores for a random sample of 15 honors students is 10.7. The sample variance of the ACT composite scores for a random sample of 18 other students is 24.2 Assume that both population distributions are approximately normal and test the professor’s claim using a 0.10 level of significance. Does the evidence support the professor’s claim? Let honor students be Population 1 and let students in general be Population 2.

Step 1 of 3:

State the null and alternative hypotheses for the test. Fill in the blank below.

H0: σ21=σ22 Ha: σ21⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯σ22

Step 2 of 3:

Compute the value of the test statistic. Round your answer to four decimal places.

Step 3 of 3:

Draw a conclusion and interpret the decision.

Jun 07, 2022

SOLUTION.PDF

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27	28	29	30	1	2	3

A professor believes that the variance of ACT composite scores of honor students is less than that of all students who take the ACT. The sample variance of the ACT composite scores for a random sample...

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