# 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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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Probability-and-statistics 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)   (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