A company is interested in testing the uniformity of their film-coated pain tablets. A random sample...
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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). 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).
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