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:

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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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 …