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Unformatted text preview: ECO 230 Marianna Kudlyak Economic Statistics Spring 2007 Answer Key to Homework #10 Total points: 10. Graded exercises: Exercise 1 (2 points),3 (2 points), 4 (2 points), and 7 (2 points). Half point for the presence of each of the remaining 3 exercises. Exercise 1. Newbold, Carlson and Thorne, Problem 7.53, p.267 Exercise 2 . Newbold, Carlson and Thorne, Problem 7.58, p.267 Let Difference = s 2 / σ 2 , then (n-1) s 2 / σ 2 = Difference(n-1) follows chi-square distribution with n-1 degrees of freedom. Exercise 3 . Newbold, Carlson and Thorne, Problem 7.61, p.268 Exercise 4 . Let X1, X2, … Xn be a random sample (n > 4) from a population with mean μ and standard deviation σ . Consider the following two point estimators: X Y X X Z = + = 4 1 3 1 3 2 a) Are those estimators unbiased? Prove your answer. b) What estimator is more efficient? Prove in details by deriving the variance for each estimator....
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This note was uploaded on 06/09/2008 for the course ECO 230 taught by Professor Kudlyak during the Spring '08 term at Rochester.
- Spring '08