Here are the IQ scores for the 15 first-grade girls from the study mentioned in Example 14.8. 102 96 106 118 108 122 115 113 109 113 82 110 121 110 99 Assume the same prior distribution used in Example 14.8, and assume that the data is a random sample from a normal distribution with mean m and s ¼ 15. a. Find the posterior distribution of m. b. Find a 95% credibility interval for m. c. Add four observations with average 110 to the data and find a 95% confidence interval for m