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420Exam2Bans - STAT 420 Spring 2008 Version B Name ANSWERS...

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1. A cereal company has four manufacturing plants. Six boxes selected at random from each of the four plants contain the following amounts of cereal, in ounces: y i s i 2 Plant 1 16.07 15.97 15.99 15.93 15.97 16.01 15.99 0.00224 Plant 2 15.97 15.99 16.13 16.09 15.99 16.01 16.03 0.00416 Plant 3 16.12 16.05 16.13 16.07 16.03 16.14 16.09 0.00212 Plant 4 16.09 15.95 16.09 15.93 16.01 15.99 16.01 0.00464 We want to determine whether there is significant evidence of a difference in the average cereal amounts per box from the four different plants. a) (4) Specify an appropriate model for this situation and the underlying assumptions. Y ij = μ i + ε ij , i = 1, 2, 3, 4, j = 1, 2, 3, 4, 5, 6. ε ij are independent N ( 0, σ 2 ) random variables, OR Y ij = μ + Plant i + ε ij , i = 1, 2, 3, 4, j = 1, 2, 3, 4, 5, 6. ε ij are independent N ( 0, σ 2 ) random variables, Plant 1 + Plant 2 + Plant 3 + Plant 4 = 0. OR
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420Exam2Bans - STAT 420 Spring 2008 Version B Name ANSWERS...

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