Q. # 5 Suppose we have following random sample from a normal distribution with variance 5 6.53, 7.53, 4.23, 9.12, 10.33, 4-32, 8.71, 9.21, 12.33, 8.35, 3.25, 6.25 and 4.37. Use the data to test the hypothesis H,: /$7 vs H, : #>7 by computing posterior Bayes probabilities if prior distribution of / is /(3,4). What decision would have been made if no prior information is given