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

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

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

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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.
© BrainMass Inc. brainmass.com March 21, 2019, 11:45 am ad1c9bdddf
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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