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    Hypothesis Testing & Confidence Interval: Dependent Sample

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    11.51. A plant manager has collected productivity data for a sample of workers, intending to see whether there is a difference in the number of units they produce on Monday versus Thursday. The results (units produced) are in data file XR11051. Using the 0.01 level of significance, evaluate the null hypothesis that there is no difference in worker productivity between the two days. Identify and interpret the p-value for the test, then construct and interpret the 99% confidence interval for the mean difference in productivity between the days.
    Worker Monday Thursday
    1 49 46
    2 56 59
    3 63 65
    4 52 57
    5 47 45
    6 67 71
    7 71 70
    8 45 49
    9 42 43

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    Solution Summary

    The solution provides step by step method for the calculation of testing of hypothesis and confidence interval for mean difference. 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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