Sample size:

(a) Given known \(\sigma=5\), and prior hyperparameter \(\kappa_{0}=0\), how many observations \(n\) do you have to make to ensure \(I_{0.01}^{\mu}\) is narrower than 0.5 ?

(b) With known \(\sigma=0.42\), and prior hyperparameter \(\kappa_{0}=8\) how many observations \(n\) do you have to make to ensure \(I_{0.07}^{\mu}\) is narrower than 0.123 ?