A company is interested in testing the uniformity of their
A company is interested in testing the uniformity of their film-coated pain tablets. A random sample of
three batches were collected from each of their two blending sites. The amount of active ingredient in
each of five tablets selected from each batch was determined. The data are shown below.
Site
Batch
1
2
2
5.05
1
3
1
3
5.03
4.64
5.10
5.46
4.90
5.10
4.73
5.15
4.96
5.15
4.95
5.25
4.82
5.20
5.12
5.18
4.86
4.98
4.95
5.08
5.12
5.18
4.86
5.05 5.06 5.14
5.05
5.11
5.07
(a) Identify the factors and the number of levels of each factor, indicating any nesting present.
(b) Write down the model equation for a nested design as it would apply in this case.
(c) Using the model in part (b) above, work out E(Y;jk) and Var(Yjk).
