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

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IE 330 Seat # ________ Name ___ <KEY > ___ Open book and notes. 120 minutes. Cover page and six pages of exam. No calculators. Score ___________________________ Final Exam (example) Schmeiser
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Name ___ <KEY > ___ Open book and notes. No calculator. 120 minutes. 1. True or false. (for each, 2 points if correct, 1 point if left blank.) (a) T F In hypothesis testing, we assume that H 0 is true and ask whether the data are consistent with that assumption. (b) T F In regression analysis, we explain variability in the dependent variable by relating it to independent variable(s). (c) T F In confidence intervals, the confidence arises from the procedure, not from the particular interval. (d) T F The F distribution is used to compare variances. (e) T F The T distribution is used to compare means. (f) T F If X and Y have zero correlation, then Cov( X , Y ) is not defined. (g) T F The acronym "iid" means "independent and identically distributed". (h) T F Decreasing the type-one error probability increases the power of the test. 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 . (For Parts (a) and (b), you do not need to solve for a numerical answer, but anyone with a calculator should be able to finish your calculation.) (a) Write the equation for the least-squares estimated value of the y intercept. ___________________________________________________________ β ˆ 0 = y d − β ˆ 1 x d , where y d = n Σ y i hhhhh , x d = n Σ x i hhhhh , and β ˆ 1 is defined in Part (b). ___________________________________________________________ (b) Write the equation for the estimated value of β 1 . ___________________________________________________________ β
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finalexam-key-practice - IE 330 Seat # _ Open book and...

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