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The president of the student's union of a large Canadian University reports to the board of...

The president of the student's union of a large Canadian University reports to the board of directors that psychology students spend more time in the campus pub than business students. A survey was conducted on a random sample of 100 psychology students and a random sample of 100 business students. The survey results for the psychology students gave an average of 52 hours per student in the pub per month, with a variance of 64. For the business students the sample gave an average of 50 hours per student in the pub per month, with a variance of 36.

a) Test whether the sample results support the report made by the president of the student's union. Use α = .10.

b) Find the p-value for the test.

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