(a) Suppose X1, , Xn is a random sample from N(, 2) with 2 9 Suppose the prior pdf of is N (0,1) that is () N (0,1) Find a 95 credible interval for (b) The following is a set of random data from a normal distribution with variance 9 Using the results of part (a), compute a 95 credible interval for , interpret its meaning, and state any assumptions you have made 0 92 1 0 5 53 3 644 472 60 0 7 3 66 38 3 87 7 42 1 76 0 01 2 69 54 3 97 1 341 63 24 4 78

Question: (a) Suppose X1, . . ., Xn is a random sample from N(, 2) with 2 = 9. Suppose the prior pdf of is

(a) Suppose X1, . . ., Xn is a random sample from N(Î¼, Ïƒ2) with Ïƒ2 = 9. Suppose the prior pdf of Î¼ is N (0,1); that is Ï€(Î¼) ~ N (0,1). Find a 95% credible interval for Î¼.
(b) The following is a set of random data from a normal with variance 9.

Using the results of part (a), compute a 95% credible interval for Î¼, interpret its meaning, and state any assumptions you have made.

0.92 1.0 5.53 3.644.472.60 0.7-3.66 38 3.87 7.42 1.76 0.01 2.69 54 3.97 1.341.63 .24-4.78

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