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.