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    At the .01 significance level, is the mean grade of the women higher than that of the men?

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    1. A sample of scores on an examination given in RES 342 are:

    Men Women
    72 81
    69 67
    98 90
    66 78
    85 81
    76 80
    79 76
    80
    77

    At the .01 significance level, is the mean grade of the women higher than that of the men? Set up the 5-step hypothesis testing procedure and solve.

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    https://brainmass.com/business/business-management/mean-grade-women-higher-men-49760

    Solution Preview

    Ho: M2 < = M1
    H1: M2 > M1
    Let Md = M2-M1
    Then:
    Ho: Md < = 0
    H1: Md > 0

    From EXCEL, we compute M1 = 78 and M2 = 79
    df is the degrees of freedom (n1 - 1 + n2 - 1) = 14
    SSE = SSE1 + SSE2
    where SSE1 = (X - M1)2 ...

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    The expert examines the mean grade of the women higher than that of the men.

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