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# finalexam-key - IE 230 Seat Closed book and notes 120...

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IE 230 Seat # ________ Name ___ < KEY > ___ Closed book and notes. 120 minutes. Cover page, five pages of exam. No calculator. No need to simplify answers. Recall: A true/false statement is true only if it is always true. Score ___________________________ Final Exam, Spring 2011 (May 5) Schmeiser

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Name ___ < KEY > ___ Closed book and notes. 120 minutes. Consider an experiment that chooses a random sample X 1 , X 2 , . . . , X n from a population with cdf F , mean E( X ) = μ , variance V( X ) = σ 2 and median x 0.5 = F 1 (0.5). Let X d denote the sample mean, S 2 = [ Σ i = 1 n ( X i X d ) 2 ] / ( n 1) denote the sample variance, and X ( i ) the i th order statistic. 1. True or false. (2 points each) (a) T F The standard error of a point estimator is its standard deviation. (b) T F A statistic is an event computed from a population. (c) T F A point estimator is a statistic that is used to estimate a population parameter. (d) T F A sample is selected from a population. (e) T F X (1) X ( n ) . (f) T F V( X ) = E[( X − μ X ) 2 ]. (g) T F X d = E( X ). (h) T F The sample size is X 1 + X 2 + ... + X n . (i) T F X (1) E( X ) X ( n ) . (j) T F If n = 1, then X d = X 1 . (k) T F One advantage of a stem-and-leaf plot is that the observation values are not lost. (l) T F One advantage of a box plot is that the observation values are not lost. (m) T F One advantage of a histogram is that the observation values are not lost. (n) T F The sample median is always less than or equal to the sample average. (o) T F Computing the order statistics is necessary to create the empirical cdf. Final Exam, Spring 2011 (May 5) Page 1 of 5 Schmeiser
Name ___ < KEY > ___ 2. (From Montgomery and Runger, fourth edition, Problem 7–30) Let X denote a random variable with probability density function

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finalexam-key - IE 230 Seat Closed book and notes 120...

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