A graduate recruiter for a university believes that the average Graduate Record Examinations (GRE) quantitative score of students who applied in the past five years is less than the average GRE quantitative score of students who applied more than five years ago. Using university records, independent random samples are obtained with the following results:
Perform the test of hypothesis assuming that the population variances are equal and that two populations from which the samples are drawn are normally distributed. Use a significance level of α = .05.