Posted by Lee on Friday, January 30, 2009 at 7:41pm.
No matter what the standard deviation of the distributions is, the mean of the GPA of both samples will be the weighted mean, which is
4/9 * 2.77 + 5/9 * 2.89.
This equals 2.84.
The questioner doesn't want the weighted mean, she wants the mean of the difference. This is equal to the difference between the means, or 0.12.
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