In: Statistics and Probability
Two random samples of 40 students were drawn independently from
two populations of students. Assume their aptitude tests are
normally distributed (total points = 100). The following statistics
regarding their scores in an aptitude test were obtained: xbar1=
76, s1 = 8, xbar2 = 72, and s2 = 6.5.
Test at the 5% significance level to determine whether we can infer
that the two population means differ. (Note: You cannot necessarily
assume that the populations have the same variances).
Please Solve manually.