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The effect of five different ingredients (A, B, C, D, E)on the reaction time of a chemical process is being studied.Each batch of new material is only large enough to permit fiveruns to be made. Furthermore, each run requires approximatelyhours, so only five runs can be made in one day. The experimenterdecides to run the experiment as a Latin square so thatday and batch effects may be systematically controlled. She

obtains the data that follow.

The effect of five different ingredients (A, B, C, D, E) on the reaction time of a chemical process is being studied. Each batch of new material is only large enough to permit five runs to be made. Furthermore, each run requires approximately hours, so only five runs can be made in one day. The experimenter decides to run the experiment as a Latin square so that day and batch effects may be systematically controlled. She obtains the data that follow. Day Batch 2 3 4 A = 8 B=1 D=1 C =7 E = 3 2 C = 11 E=2 A=7 D=3 B= 8 B=4 A=9 C=10 E=1 D=5 D =6 C=8 E=6 B=6 A= 10 E=4 D=2 B=3 A=8 C=8 a. Analyze the data from this experiment (use 0.05) and draw conclusions. b. Suppose that the observation for Batch = 2 and Day = 3 and treatment = A is missing. Analyze the problem by estimating the missing value