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    Testing the Different Performance of Students with and without Sleep

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    a. Research has shown that losing a few hours of sleep can have a significant effect on performance of some simple tasks. To demonstrate this phenomenon, a sample of n = 25 college students was given a simple problem solving task at noon one day and again at noon on the following day. The students were not permitted any sleep a full night between the two tests. For each student, the difference between the first and second score was recorded. For this sample, the students averaged Md = 4.7 better on the first test with a variance of 64 for the difference of scores.

    b. Do the data indicate a significant change in problem solving ability? Use a two tailed test with ?=.01. Be sure to show all formulas, steps, processes and calculations for all parts of the

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    Solution Preview

    Hypothesis: Ho: mud is 0 vs. Ha: mud is not 0 where mud is the true mean differnce of the first and second ...

    Solution Summary

    This solution shows how to calculate the test statistic and the critical value and interpret the results. The expert determines if the data indicates a significant change in problem solving abilities.