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Hypothesis Testing:Comparison of Mean

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To test the hypothesis that students who finish an exam first get better grades, the professor kept track of the order in which papers 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 signficiant difference at alpha = .05?

a) state the hypothesis for a right tailed test
b) obtain a test statistic and p-value assuming equal variances
interpret these results

c) is the difference in mean scores large enough to be important
d) is it reasonable to assume equal variances?
e) carry out a formal test for equal variances at alpha = .05

Use Megastat and show all steps clearly.

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Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis of mean. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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