One way ANOVA
Question 1:
Data have been collected to test whether the thickness of a poly silicon coating depends upon the deposition temperature. Test whether there is any difference in the thickness at different temperature levels at a = 0.05.
Table 1
Temperature Polysilicon Thickness
|
1
|
110
|
112
|
109
|
115
|
|
2
|
105
|
99
|
100
|
103
|
|
3
|
115
|
120
|
109
|
117
|
|
|
102
|
110
|
108
|
102
|
Question 2:
A chemical engineer has reason to believe that the batches of raw materials used in the manufacture of a compound differ significantly in Nitrogen content. Currently the company uses many batches: for this study, the engineer randomly selected five of these batches and recorded 3 observations on each batch. The data is in Table 2. Conduct ANOVA at a = 0.01 and test whether there is any difference
Table 2 Batches
| 1 |
2 |
3 |
4 |
5 |
|
8.5
|
8.4
|
8.4
|
8.5
|
8.9
|
|
8.6
|
8.5
|
8.9
|
8.4
|
8.6
|
|
8.2
|
8.3
|
8.2
|
8.2
|
8.2
|