The effect of five different ingredients (A, B, C, D, E) on the reaction time of a

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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 five runs to be made. Furthermore, each run requires approximately 1 1/2 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. Analyze the data from this experiment (use α = 0.05) and draw conclusions.

Day Batch 1 2 3 4 5 C = 7 D = 3 E = 1 E = 3 A = 8 C = 11 1 B = 7 D = 1 %3D E = 2 A = 9 C = 8 2 A = 7 B = 8 D

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