A balanced experimental design has a sample size of n =6

Chapter 11, Problem 11.1.9

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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 x1 =136.3, x2 =152.1, x3 =125.7, x4 =130.2, x5 =142.3, and x6 =128.0, and MSE=15.95. (a) Calculate pairwise condence intervals for the factor level means with an overall condence level of 95%. (b) Make a diagram showing which factor level means are known to be different and which ones are indistinguishable. (c) What additional sampling would you recommend to reduce the lengths of the pairwise condence intervals to no more than 10.0 ?

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