SOLUTION: Assume I drew 2 random samples of University of Phoenix students, gave them a statistics exam, and one group (men) had a 76 average score and the other group (women) had an average

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Question 463873: Assume I drew 2 random samples of University of Phoenix students, gave them a statistics exam, and one group (men) had a 76 average score and the other group (women) had an average score of 80. Is it possible that things are not as they seem -- that the women are smarter than the men? Note: the standard deviation of the men's scores was 8 and the women's scores was 6. There were 36 in each sample.
Answer by edjones(7569) About Me  (Show Source):
You can put this solution on YOUR website!
H[o]:m=f
H[a]:m<>f
.
Let's do a 2 tailed test with a 95% confidence interval.
We will compare the means of the two samples.
M: x[m]=76, s=8, n=36
F: x[f]=80, s=6, n=36
.

.
z=(76-80)/1.67=-2.40
Since -2.40 falls in the rejection area to the left of -1.96 then the H[o] is rejected and women are smarter than men.
.
Ed