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The quality control director for a clothing manufacturer wants to study the effect of operators and machines on the breaking strength (in pounds) of wool serge material. A batch of the material is cut into square yard pieces, and these are randomly assigned, 3 each, to all 12 combinations of 4 operators and 3 machines chosen specifically for the experiment. The results are as follows:
MACHINE
OPERATOR I II IIIA 115 111 109A 115 108 110A 119 114 107B 117 105 110B 114 102 113B 114 106 114C 109 100 103C 110 103 102C 106 101 105D 112 105 108D 115 107 111D 111 107 110
At the 0.05 level of significance,
a. is there an interaction between operator and machine?b. is there an effect due to operator?c. is there an effect due to machine?
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