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

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STAT 420 Spring 2008 Version B Name ANSWERS . Exam 2 Page Possible Earned 1 16 2 9 3 13 4 8 5 4 6 10 Total 60 Be sure to show all your work; your partial credit might depend on it. No credit will be given without supporting work. The exam is closed book and closed notes. You are allowed to use a calculator and one 8½" x 11" sheet with notes on it. _________________________________________________________________________ Academic Integrity The University statement on your obligation to maintain academic integrity is: If you engage in an act of academic dishonesty, you become liable to severe disciplinary action. Such acts include cheating; falsification or invention of information or citation in an academic endeavor; helping or attempting to help others commit academic infractions; plagiarism; offering bribes, favors, or threats; academic interference; computer related infractions; and failure to comply with research regulations. Rule 33 of the Code of Policies and Regulations Applying to All Students gives complete details of rules governing academic integrity for all students. You are responsible for knowing and abiding by these rules.
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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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This note was uploaded on 02/10/2009 for the course STAT 420 taught by Professor Stepanov during the Spring '08 term at University of Illinois at Urbana–Champaign.

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

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