6. In the Normal/Normal example of Subsection 1.5.1, let 2 = 2, = 0, and 2 = 2. (a) Suppose we observe y

6. In the Normal/Normal example of Subsection 1.5.1, let σ2 = 2, μ = 0, and τ 2 = 2.

(a) Suppose we observe y = 4. What are the mean and variance of the resulting posterior distribution? Sketch the prior, likelihood, and posterior on a single set of coordinate axes.

(b) Repeat part

(a) assuming τ 2 = 18. Explain any resulting differences.

Which of these two priors would likely have more appeal for a frequentist statistician?