Four chemists are asked to determine the percentage of methyl alcohol in a certain chemical compound. Each

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Four chemists are asked to determine the percentage of methyl alcohol in a certain chemical compound. Each chemist makes three determinations, and the results are the following:

Chemist Percentage of Methyl Alcohol 1 84.99 84.04 84.38 85.15 85.13 84.88 3 84.72 84.48 85.16 4 84.20 84.10 84.55

(a) Do chemists differ significantly? Use α = 0.05.

(b) Analyze the residuals from this experiment.

(c) If chemist 2 is a new employee, construct a meaningful set of orthogonal contrasts that might have been useful at the start of the experiment.

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