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    Statistics - Hypothesis Testing

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    Please solve the following problem using the 5 step procedure for hypothesis testing.

    To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack
    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 significant difference at α = .05?
    (a) State thehypotheses 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 α = .05, showing
    all steps clearly.

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    Solution Summary

    Neat, step-by-step solution is provided. 5 step Hypothesis Testing