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    Operators and Machines

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    I would like the response to the sample questions below in excel format, so that I can see the formulas used.

    The quality 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 combinations of 4 operators and 3 machines. The results are shown in the table below.
    Machine I Machine II Machine III
    Operator A 115 111 109
    115 108 110
    119 114 107
    Operator B 117 105 110
    114 102 113
    114 106 114
    Operator C 109 100 103
    110 103 102
    106 101 105
    Operator D 112 105 108
    115 107 111
    111 107 110
    At 0.05 level of significance test whether or not there
    a. Is an interaction between operators and machines?
    b. Is there an effect due to operator?
    c. Is there an effect due to machine?
    d. Plot the mean breaking strength for each operator for each machine.
    e. If appropriate, use the Tukey procedure to examine differences among operators and among machines.
    f. What can you conclude about the effects of operators and machines on breaking strength? Explain.

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    Solution Summary

    The operators and machines for quality directors for a clothing manufacturer is examined.