5.2 Sensitivity analysis: Thirty-two students in a science clamroom were randomly assigned to one of two study methods. A and B, so that 11' = 313 = 16 students were amigned 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 soores for the two groups are summarized by {ii}. = 75.2, s,' = 7.3} and {g = 17.5.81, = 8.1}. Consider independent, conjugate normal prior distributions for each of 04 and 93. with pa = 75 and 0'3 = 100 for both groups. F017 m (\"01:13) E l(l1l)i(232)t(414)r(818)1(16116)!(32132)} (or more values), obtain Pr(94