(Solution) - A balanced experimental design has a sample size of n -(2025 Original AI-Free Solution)

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A balanced experimental design has a sample size of n = 6 observations at each of k = 6 factor levels. The sample averages are 1 = 136.3, 2 = 152.1, 3 = 125.7, 4 = 130.2, 5 = 142.3, and 6 = 128.0, and MSE = 15.95.
(a) Calculate pairwise confidence intervals for the factor level means with an overall confidence level of 95%.
(b) Make a diagram showing which factor level means are known to be different and which ones are indistinguishable.