Use the data consisting of 30 lactic acid concentrations in cheese, 10 from Example 8.5.4 and 20 from Exercise 16 in Sec. 8.6. Fit the same model used in Example 8.6.2 with the same prior distributon, but this time use the Gibbs sampling algorithm described in Example 12.5.1. Simulate 10,000 pairs of (μ, τ) parameters. Estimate the posterior mean of (√τμ)−1, and compute the simulation standard error of the estimator.