Consider the data set given in DS 11.2.1. (a) Calculate the factor level sample averages i (b)

Question:

Consider the data set given in DS 11.2.1.
(a) Calculate the factor level sample averages i
(b) Calculate the block sample averages j
(c) Calculate the overall average ..
(d) Calculate the treatment sum of squares SSTr.
(e) Calculate the block sum of squares SSBI.

(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 confidence intervals for the pairwise differences of the factor level means with an overall confidence 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 confidence intervals for the pairwise differences of the factor level means with an overall confidence level of 95% that are no longer than 2.0, how much additional sampling would you recommend?