final_f02

# final_f02 - Final Exam Fall 2002 ST 370 Online A Darken the...

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Final Exam - Fall 2002 - ST 370 Online - A Darken the circle on the answer sheet corresponding to your answer. Use a number 2 pencil. Stray marks on the form may cause errors. All questions are worth 3 points. (Since there are only 30 questions, I’m giving a 10 point gift for Christmas.) 1. Which of the following are measures of variability (or dispersion)? A. sample median B. sample mean C. sample standard deviation D. All of the above E. None of the above 2. Suppose that a local school has 2 power generators. Assume that each generator operates independently with a probability of failure equal to 0.02 on any given week when used. The school will experience a complete power outage only if both generators fail. What is the probability of a complete power outage during a certain week? 3. Let Y be a random variable with probability density function f ( y ) = y 3 + 1 6 , 0 < y < 2 = 0 otherwise Find the expected value of Y . (Reduce answer to simplest form.) 4. For the above density, find Pr(0 < Y < 1). A. 5/24 B. 1/12 C. 1/9 D. 5/12 D. None of the above 1

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What follows is a description of an experiment and the Matlab results. Use this information for the next 6 problems. In a chemistry lab, an experiment was performed to study the thermal degradation of a certain biopolymer. Samples were heated to a certain temperature (70 or 100 degrees Celsius). This temperature was maintained for a fixed time duration (10 or 30 minutes). The molecular weight of the biopolymer was used as the response. (Adapted from Applied Statistics for Engineers and Scientists by Petruccelli, Nandram, and Chen) Obs time temp weight 1 10 70 2.31 2 10 70 2.49 3 10 100 1.85 4 10 100 1.92 5 30 70 2.16 6 30 70 2.34 7 30 100 2.00 8 30 100 2.09 >> mfit(z.weight, z.time, z.temp) Overall Mean 2.145 Fitted Main Effect of Y variable , y, by X variable, x1 Source NMain Effect 10 4 -0.0025 30 4 0.0025 Fitted Main Effect of Y variable , y, by X variable, x2 Source NMain Effect 70 4 0.18 100 4 -0.18 Table of 2-way x1 by x2 Interaction Effects x1 10 30 x2 70 0.0775 -0.0775 100 -0.0775 0.0775
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