(a) Do chemists differ significantly? Use a = 0.05 conduct a hypothesis test.  (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 experimen

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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

2

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 a = 0.05 conduct a hypothesis test. 

(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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