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    Testing of hypothesis problems : Independent sample t-test

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    Do students that finish exams first obtain better grades? A professor has 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 alpha = .05? Need to:

    (a) State the hypotheses 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, showing all steps clearly.

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    Solution Summary

    Step by step methods for testing the hypothesis under the 5 step approach is discussed here. An Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.