Consider n = 40 observations 11,..., In from a Normal distribution with mean p and variance o?. We know that i = 31.2 52
Posted: Mon Nov 15, 2021 9:59 am
Consider n = 40 observations 11,..., In from a Normal distribution with mean p and variance o?. We know that i = 31.2 52 = 3.24. (a) Let u be unknown and o2 = 1.96. Provide a 99% Bayesian credible interval when a N (20, 1) prior is assumed for the parameters. (b) Let the precision o = o-' be unknown and p = 30. Compute the posterior mean of the parameter o when a Gamma(5, 3) prior is assumed for o.