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A professor takes a random sample of 25 students and administers a test with questions increasing...

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Statistics

A professor takes a random sample of 25 students and administersa test with questions increasing in difficulty. He takes anothersample of 25 students and administers a test with questionsdecreasing in difficulty. He records measures of test anxiety basedon a scale from 1 to 10 (most anxious). Using steps below, run an Ftest to test the claim that the two given samples come frompopulations with different variances. Use α = 0.01.

Questions with Increasing DifficultyQuestions with Decreasing Difficulty
3.74.8
4.56.2
2.95.9
1.75.1
4.57.8
6.29.5
3.86.3
2.98.5
1.78.0
4.26.8
4.76.4
3.84.9
3.15.6
3.08.8
1.79.4
2.09.5
1.46.5
2.47.6
1.66.7
5.68.2
6.75.6
5.44.2
3.67.9
2.48.1
3.76.5

A. State the null and alternative hypotheses in terms ofσ12 & σ22. Be sureto label which population is which.

B. Find the critical value, Test statistic, and P-value

C. Decision? Reject / Fail to Reject

D. Are the two given samples from populations with differentvariances? yes/no

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