3. In Example 3.2, assess sensitivity in inferences under the independent priors case with N(0, 1000) but the following priors on the precision:

3. In Example 3.2, assess sensitivity in inferences under the independent priors case with μ ∼

N(0, 1000) but the following priors on the precision: τ ∼ U(0, 100) and log(τ ) ∼ N(0, 1).