An aluminum master alloy manufacturer produces grain refiners in ingot form. The company produces the product 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 furnaces as a nuisance variable. The process engineers suspect that stirring rate impacts the grain size of the product. Each furnace can be run at four different stirring rates. A randomized block design is run for a particular refiner and the resulting grain size data is as follows.
An aluminum master alloy manufacturer produces grain refiners in ingot form. The company produces the product 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 furnaces as a nuisance variable. The process engineers suspect that stirring rate impacts the grain size of the product. Each furnace can be run at four different stirring rates. A randomized block design is run for a particular refiner and the resulting grain size data is as follows.
|
|
Furnace |
|||
|
Stirring Rate |
1 |
2 |
3 |
4 |
|
5 |
8 |
4 |
5 |
6 |
|
10 |
14 |
5 |
6 |
9 |
|
15 |
14 |
6 |
9 |
2 |
|
20 |
17 |
9 |
3 |
6 |
(a) Is there any evidence that stirring rate impacts grain size? Conduct hypothesis testing to answer this question.
(b) Graph the residuals from this experiment on a normal probability plot. Interpret this plot.
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