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# finalexam-key - IE 330 Seat # _ Open book and notes. 120...

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IE 330 Seat # ________ Name ___ < KEY > ___ Open book and notes. 120 minutes. Covers Chapters 8 through 14 of Montgomery and Runger (fourth edition). Cover page and eight pages of exam. No calculator. (2 points) I have, or will, complete a course evaluation. ____________________________________________________________ ...sign here. .. NEITK: "not enough information to know" iid: "independent and identically distributed" An element of an experiment is "random" if its value can change with each replication of the experiment. A bar over notation, such as X d , denotes the sample mean. There is no need to simplify calculations. Score ___________________________ Final Exam (Dec 16, 2010) Schmeiser

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IE 330 Seat # ________ Name ___ < KEY > ___ Open book and notes. No calculator. 120 minutes. 1. True or false. (2 points each) (a) T F In hypothesis testing, failing to reject H 0 leads to the strong claim that H 0 is true. (b) T F In regression analysis, consider a fitted model that passes through all data points. Because the fit cannot be better, using the fitted model for interpolation also has no error. (c) T F Confidence-interval length goes to zero as sample size goes to infinity. (d) T F Student’s T distribution is used to compare variances. (e) T F If two factors have an interaction effect, the effects are additive. (f) T F In hypothesis testing, with everything else being unchanged, more power is good. (g) T F If only two factors are confounded, doubling the number of observations at each design point will "unconfound" them. (h) T F In hypothesis testing, the greater the distance between the values in H 0 and H 1 , the greater the power of the test. (i) T F For all normal distributions, a bit more than 75% of the probability is within one standard deviation of the mean. (j) T F If ( a , b ) is a 95% confidence interval for the variance σ 2 , then ( dd a , dd b ) is a 95% confidence interval for the standard deviation σ . (k) T F If a sample is iid, then σ 2 = n V( X d ), where σ denotes the standard deviation of the n observations X . Final Exam (Dec 16, 2010) Page 1 of 8 Schmeiser
Name ___ < KEY > ___ 2. (Montgomery and Runger, Problem 11–1) An article in Concrete Research ("Near Surface Characteristics of Concrete: Intrinsic Permeability," 41, 1989), presented data on comprehensive strength x and intrinsic permeability y of various concrete mixes and cures. Summary quantities are n = 14, Σ y i = 572, Σ y i 2 = 23,530, Σ x i = 43, Σ x i 2 = 157.42 and Σ x i y i = 1697.80. Consider the regression model y i = β 0 + β 1 x i + ε i . (a) (4 pts) Write the equation for the fitted model’s slope, which is also the estimated value of dy / dx , the first derivative of the expected response with respect to the compressive strength. ____________________________________________________________ The formula for

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finalexam-key - IE 330 Seat # _ Open book and notes. 120...

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