# Operators and Machines

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

11.37

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.

https://brainmass.com/statistics/descriptive-statistics/operators-machines-549086

#### Solution Summary

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