Question: To test the hypothesis that students who finish an exam first get better grades, professor kept track of the order in which paper were handed in. The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6 while the last 24 papers handed in showed a mean score of 69.3 with a standard deviation of 24.9. Is this a significant difference at a=005?. state the hypotheses for the right-tailed test (b) obtain a test statistics and p-value assuming equal variance. Interpret result (c) is the difference in mean score large enough to be important (d) is it reasonable to assume equal variance? (e) carry out a formal test for equal variances a= .05,, showing all steps clearly.

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