A company that stamps gaskets out of sheets of rubber, plastic, and cork wants to compare the mean number of gaskets produced per hour for the three types of material. Two randomly selected stamping machines are chosen as blocks. The data represent the number of gaskets (in thousands) produced per hour. The data is given below. In addition, the printout analysis is given in Figure 13.16.
Â
Material
Machine
Cork
Rubber
Plastic
4.31
4.27
4.40
3.36
3.42
3.48
4.01
3.94
3.89
3.81
3.99
3.91
3.80
3.85
3.53
(a) Why would the stamping machines be chosen as blocks?
(b) Plot the six means for machine and material combinations.
(c) Is there a single material that is best?
(d) Is there an interaction between treatments and blocks? If so, is the interaction causing any serious difficulty in arriving at a proper conclusion? Explain.
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