- 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.
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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 …
