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Unformatted text preview: Northwestern University Department of Economics STAT 210 Introduction to Statistics - Professor: Steffen Habermalz Second Midterm Examination February 22 nd 2008 1. Write your name and circle your TAs name on the answer sheet. 2. (2+3=5 pts. each) True/False: State if the following statements are true or false. Only clearly explained answers earn full credit. a. If X~N(8,49) and N=10 then ( 29 ( 29 8 8 0.5 P X P X = = TRUE. If the underlying distribution is normal both X and Xbar are normal and since their mean equals the population mean the given probability is correct. b. The median of a Chi-square distribution is equal to its mean. FALSE. Clearly this cannot be the case since the distribution is not symmetric. c. All consistent estimators are biased in small samples. FALSE. For example, the sample mean is unbiased and consistent. d. The sample mean is the most efficient estimator among linear estimators FALSE. It is the most efficient estimator among linear, UNBIASED estimators....
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- Winter '09