practice midterm - STATISTICS 641 WINTER 2006 MIDTERM EXAM...

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Unformatted text preview: STATISTICS 641, WINTER 2006 MIDTERM EXAM 1 (In class, open book, two crib sheets) Name_______________________________________________________________ Instructions: You may use your textbook, two sheets of paper with formulas, and a calculator, but not your notes or other reference material. Please write your answer and show yourwork in the space provided on this exam. If you use additional sheets of paper for answers, please put your name on each sheet, indicated the problem number, and attach to this exam. 1 . In the manufacture of clothing a wear-testing machine is used to measure the resistance to abrasion of different fabrics. The response Y is the loss of weight of the material in grams after a specified number of abrasion cycles of the machine. In one experiment, five fabrics (denoted A, B, C, D, and E) were to be compared in terms of their resistance to abrasion. Four samples of each fabric were to be tested. The experimental “units” here are the times at which the wear-testing machine is to be used to test a piece of fabric. Twenty times (units) are available for the experiment. (a) (10 pts.) The experimenters were willing to assume that a oneway analysis of variance model Y ij = μ + τ i + ε ij where Y ij is the j-th observation (1...
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practice midterm - STATISTICS 641 WINTER 2006 MIDTERM EXAM...

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