The 65 students who apply for admission into a master's program in 1981 have average Graduate Record Examination (GRE) scores of 640 with a standard deviation of 20. In 1982, the 81 students who apply have average GRE scores of 650 with a standard deviation of 40.
(a) Are the 1981 applicants inferior to the 1982 applicants at the 1% level of signi?cance? (
b) What is the acceptance region for the test in terms of GRE scores?