Consider the data set given in DS 11.2.1. (a) Calculate

Chapter 11, Problem 11.2.7

(choose chapter or problem)

Consider the data set given in DS 11.2.1. (a) Calculate the factor level sample averages xi (b) Calculate the block sample averages xj (c) Calculate the overall average x (d) Calculate the treatment sum of squares SSTr. (e) Calculate the block sum of squares SSBl. (f) Calculatek i=1b j=1 x2 ij (g) Calculate the total sum of squares SST. (h) Calculate the error sum of squares SSE. (i) Complete the analysis of variance table. What are the p-values? (j) Compute condence intervals for the pairwise differences of the factor level means with an overall condence level of 95%. (k) Make a diagram showing which factor level means are known to be different and which ones are indistinguishable. (l) If the experimenter wants condence intervals for the pairwise differences of the factor level means with an overall condence level of 95% that are no longer than 2.0, how much additional sampling would you recommend?

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