#5 Suppose we have following random sample from a normal distribution with variance 5 6.53,7.53,4.23,9.12,10.33,4.32,8.71,9.21,12.33,8.35,3.25,6.25and4.37. Use the data to test the hypothesis H0:7vsH1:>7 by computing posterior Bayes probabilities if prior distribution of is N(3,4). What decision would have been made if no prior information is given? #5 Suppose we have following random sample from a normal distribution with variance 5 6.53,7.53,4.23,9.12,10.33,4.32,8.71,9.21,12.33,8.35,3.25,6.25and4.37. Use the data to test the hypothesis H0:7vsH1:>7 by computing posterior Bayes probabilities if prior distribution of is N(3,4). What decision would have been made if no prior information is given