I - Consider the following experiment, which was performed at a pulp mill. Plant performance is based on pulp brightness as measured by a reectance meter. Each of the four shift operators (denoted by A, B, C, and D) made ve pulp handsheets from unbleached pulp. Reectance was read for each of the handsheets using a brightness tester. The data is given in the table below: "a\" 59.8 59.8 60.7 61.0 60.0 60.2 60.7 60.8 60.8 60.4 60.5 60.6 60.8 59.9 60.9 60.5 59.8 60.0 60.3 60.5 Solve the problem as a Bayesian oneway ANOVA. Use STZ constraints on treatment effects. 1. Do the operators differ in making the pulp handsheets and reading their brightness? Look at the 95% credible sets for the differences between treatment effects. 2. Find the 95% credible set for the contrast in p2 p3 + #4, where #1, #2, M3, and [.54 are the mean pulp brightness for the operators A, B, C, and D, respectively