Midterm222S10

Midterm222S10 - Stat514S10 Midterm II (Total 20 Points) 0....

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Stat514S10 Midterm II (Total 20 Points) 0. Exam time: 1 hour and 45 minutes 1. Use α =5% throughout the exam. 2. Must show work to get credits. 3. Hand in both the question and answer sheets. 1. An experiment was conducted to study the performance of four different detergents for cleaning fuel injectors. The following cleanness readings were obtained from 12 tanks of gas treated with the detergents and distributed over three different models of engines. The engine models are considered blocks. Engine model Detergent 1 2 3 ¯ y i. A 55 53 61 56.33 B 59 58 64 60.33 C 61 63 68 64.00 D 50 45 57 50.67 ¯ y .j 56.25 54.75 62.50 57.83 a)(1pt) Which fundamental design principle was used in this experiment? Comments on its major advantages and disadvantages. b)(1pt) Suppose τ 1 2 3 4 are the treatment effects of detergents A , B , C ,and D , respectively, and they satisfy the constraint τ 1 + τ 2 + τ 3 + τ 4 = 0. Calculate the estimates of the treatment effects. c)(2pts) Assume detergents and engine models do not interact each other. Test if the detergents are different for cleaning fuel injectors.
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Midterm222S10 - Stat514S10 Midterm II (Total 20 Points) 0....

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