An aluminum master alloy manufacturer produces grain refiners in ingot form. The company produces the prod- uct in four furnaces. Each furnace is known to have its own unique operating characteristics, so any experiment run in the foundry that involves more than one furnace will consider fur- naces as a nuisance variable. The process engineers suspect that stirring rate affects the grain size of the product. Each fur- nace can be run at four different stirring rates. Stirring Rate (rpm) 5 10 15 20 1 8 14 14 17 Furnace 2 3 456 9 5 6 3 4 69 26 (a) Is there any evidence that stirring rate affects grain size? (b) Graph the residuals from this experiment on a normal probability plot. Interpret this plot. (e) Plot the residuals versus furnace and stirring rate. Does this plot convey any useful information? (d) What should the process engineers recommend con- cerning the choice of stirring rate and furnace for this particular grain refiner if small grain size is desirable?

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Author:Amos Gilat
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Question3:
An aluminum master alloy manufacturer produces
grain refiners in ingot form. The company produces the prod-
uct in four furnaces. Each furnace is known to have its own
unique operating characteristics, so any experiment run in the
foundry that involves more than one furnace will consider fur-
naces as a nuisance variable. The process engineers suspect
that stirring rate affects the grain size of the product. Each fur-
nace can be run at four different stirring rates.
Stirring Rate (rpm)
5
10
15
20
1
8
14
14
17
Furnace
3
5
2
4
5
6
9
693
4
6
9
2
6
(a) Is there any evidence that stirring rate affects grain
size?
(b) Graph the residuals from this experiment on a normal
probability plot. Interpret this plot.
(c) Plot the residuals versus furnace and stirring rate. Does
this plot convey any useful information?
(d) What should the process engineers recommend con-
cerning the choice of stirring rate and furnace for
this particular grain refiner if small grain size is
desirable?
Transcribed Image Text:Question3: An aluminum master alloy manufacturer produces grain refiners in ingot form. The company produces the prod- uct in four furnaces. Each furnace is known to have its own unique operating characteristics, so any experiment run in the foundry that involves more than one furnace will consider fur- naces as a nuisance variable. The process engineers suspect that stirring rate affects the grain size of the product. Each fur- nace can be run at four different stirring rates. Stirring Rate (rpm) 5 10 15 20 1 8 14 14 17 Furnace 3 5 2 4 5 6 9 693 4 6 9 2 6 (a) Is there any evidence that stirring rate affects grain size? (b) Graph the residuals from this experiment on a normal probability plot. Interpret this plot. (c) Plot the residuals versus furnace and stirring rate. Does this plot convey any useful information? (d) What should the process engineers recommend con- cerning the choice of stirring rate and furnace for this particular grain refiner if small grain size is desirable?
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