Problem 3: A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. A completely randomized experiment is conducted and the following conductivity data are obtained: Coating Type 1 2 3 4 1. 2. 3. 143 152 134 129 141 149 136 127 Conductivity 150. 137 132 132 146 143 127 129 Is there a difference in conductivity due to coating type? Use a = 0.01 (10 points) Estimate the overall mean and the treatment effects (10 points) Compute a 95 percent confidence interval estimate of the mean of coating type 4. Compute a 90 percent confidence interval estimate of the mean difference between types 1 and 4. (10 points) 4. Test all pairs of means using Tukey's test with a = 0.05. (10 points)