5.2 Sensitivity analysis: Thirtytwo students in a science classroom were randomly assigned to one of two study methods, A and B, so that nA 2 n3 2 16 students were assigned to each method. After several weeks of study, students were examined on the course material with an exam designed to give an average score of 75 with a standard deviation of 10. The scores for the two groups are summarized by {314 = 75.2, .534, = 7.3} and {733 = 77.5, 31, = 8.1}. Consider independent, conjugate normal prior distributions for each of (9A and (93, with p0 = 75 and 03 = 100 for both groups. For each (50,120) E {(1,1),(2,2),(4,4),(8,8),(16,16),(32,32)} (or more values), obtain Pr(t9A