Sample size:

(a) Using prior hyperparameters \(\kappa_{0}=7, v_{0}=6\), and \(S S_{0}=17\), how many observations \(n\) do you need to make in order for \(P\left(\mu \in H_{1.3}^{\mu}ight) \geq 0.9\) ?

(b) Using prior hyperparameters \(\kappa_{0}=5, v_{0}=4\), and \(S S_{0}=50\), how many observations \(n\) do you need to make in order for \(P\left(\mu \in H_{2}^{\mu}ight) \geq 0.86\) ?