An experiment was performed to investigate the capability of a measurement system. Ten parts were randomly selected, and two randomly selected operators measured each part three times. The tests were made in random order, and the data below resulted.

 

(a) Analyze the data from this experiment.

(b) Find point estimates of the variance components using the analysis of variance method.

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Operator 1 Measurements Operator 2 Measurements Part Number 1 3 1 3 50 49 50 50 48 51 1 2 52 52 51 51 51 51 53 50 50 54 52 51 3 49 51 50 48 50 51 4 48 49 48 48 49 48 52 50 50 52 50 50 7 51 51 51 51 50 50 8 52 50 49 53 48 50 9 50 51 50 51 48 49 47 46 49 46 47 48 10