Sensitivity analysis: Thirty-two students in a science classroom were randomly assigned to one of two study methods, A and B, so that nA = 72.3 = 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 {27A = 75.2, 3,4 = 7.3} and {373 = 77.5, 35 = 8.1}. Consider independent, conjugate normal prior distributions for each of 6A and (93, with [1.0 = 75 and 03 = 100 for both groups. For each (1430,14,) E {(1,1),(2,2),(4,4),(8,8),(16,16),(32,32)} (or more values), obtain Pr(t9A