1.An experiment to examine the yield of a certain chemical was conducted in b = 4 different laboratories. The treatment factors of interest were

A : acid strength (80% and 90%, coded 1, 2)

B : time allowed for reaction (15 and 30 min, coded 1, 2) C : temperature (50 and 75 C, coded 1, 2)

The experiment was run as a randomized complete block design with the laboratories as the levels of the blocking factor. The resulting data (yields in grams) are shown in Table 10.22. The goal of the experiment was to find the treatment combination(s) that give(s) the highest average yield.

A.Fit a block-treatment model to these data and show that the assumptions on the model are approximately satisfied. (Please summarize your results from statistical software such as R or SAS)

Table 10.22 Data for the hypothetical chemical experiment Lab (Block) Treatment combinations 111 112 121 122 211 212 221 222 7.3 9.5 13.8 15.4 16.0 18.7 11.3 14.5 8.8 11.3 15.3 17.7 17.9 20.8 12.0 15.4 AWN - 11.7 14.1 17.2 22.3 22.6 24.8 16.9 18.5 6.2 8.3 11.2 15.4 16.8 17.4 8.2 12.5