A large university wants to compare the verbal abilities of its male and female freshmen

by using a standardized test. An investigator selects 100 men and 100 women at random

from the freshman class and examines their scores on a standardized verbal test. The

men average 430 on the test, with an SD of 110. The women average 470, with an SD

of 120. If possible, find a 95% C.I. for the true average difference between men's and

women's scores at this school (Use the z-table, R, or SAS to find the z-score), and draw

a conclusion from the C.I.