Use the experiment described in Problem 5-6 and assume that both factors are random. Find an exact 95 percent confidence interval on as. Construct approximate 95 percent confidence intervals on the other variance components using the Satterthwaite method.

Problem 5-6

The factors that influence the breaking strength of a synthetic fiber are being studied. Four production machines and three operators are chosen and a factorial experiment is run using fiber from the same production batch. The results are as follows:

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Machine Operator 2 3 4 1 109 110 108 110 110 115 109 108 110 110 111 114 112 111 109 112 116 112 114 120 114 115 119 117 2. 3.