Suppose we have a sample 6.56 6.39 3.30 3.03 5.31 5.62 5.10 2.45 8.24 3.71 4.14 2.80 7.43 6.82 4.75 4.09 7.95 5.84 8.44 9.36 from an N(, ?2) distribution and we determine that a prior specified by | ?2 ? N(3, 4?2), ? ?2 ? Gamma(1, 1) is appropriate. Determine the posterior distribution of & , 1/?2 '

7.1.7 Suppose we have a sample 6.56 6.39 3.30 3.03 5.31 5.62 5.10 2.45 8.24 3.71 4.14 2.80 7.43 6.82 4.75 4.09 7.95 5.84 8.44 9.36 from an N(u, ) distribution and we determine that a prior specified by u lo~ N(3, 402), 0-2 ~ Gamma(1, 1) is appropriate. Determine the posterior distribution of ( u, 1/02)