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Unformatted text preview: Kata Bognar firstname.lastname@example.org Economics 41 Statistics for Economists UCLA Winter 2010 Final Exam March 15, 2010. Please print your name and student ID below. Please sign below. Please print your section and your TAs name below. Instructions: You have 180 minutes to answer the following questions. Books and notes are NOT allowed. You may use the formula sheet form the book. All answers need to be written on the handed out midterm forms. All questions have to be answered. You may use a calculator but no other electronic devices are allowed during this exam. TA sections: 1B M 1:00P - 1:50P, BUNCHE 3156 Minji Kang 1C M 3:00P - 3:50P, BUNCHE 3170 Ben Hood 1E T 3:00P - 3:50P, PUB AFF 1337 Alejandro Komai 1F T 4:00P - 4:50P, BUNCHE 3211 Alejandro Komai 1G W 12:00P - 12:50P, BUNCHE 3117 Ziyan Huang 1H R 2:00P - 2:50P, PUB AFF 2214 Andrew Zaeske 1J F 10:00A - 10:50A, PUB AFF 2214 Jin Young Lee 1L T 2:00P - 2:50P, PUB AFF 2214 Ziyan Huang 1M R 2:00P - 2:50P, PUB AFF 1323 Minji Kang 1N W 3:00P - 3:50P, ROLFE 3135 Jin Young Lee GOOD LUCK! 1 Part I - Multiple Choice Questions (3 points each) 1. Which of the following is an observational study? (a) You investigate the effect of aspirin on preventing heart attacks by giving one group of people a daily dose of aspirin and another group a placebo. Then you compare the rates of heart attacks between the two groups. (b) You investigate the effect of college GPA on starting salary by questioning random recent graduates what their starting salary is and you find their GPA from school records. (c) You are the dictator of a country and you decide to investigate the effect of smoking on lung cancer. You force half of your population to smoke and the other half not to. Then you compare the rates of lung cancer. (d) Both (a) and (c). 2. Which of the following is an example of a discrete variable? (a) The weight of a box of cookies (b) The length of a window frame (c) The number of horses owned by a farmer (d) The distance from home to work for a worker 3. Which of the following is true? (a) 5 i =1 i = 5 (b) 5 i =1 2 = 2 (c) ( 5 4 ) = 5 (d) 5! = 100 4. Assume there are two urns. Urn A has one white and three black balls and Urn B has two black and two white balls. You randomly take out two balls (without replacement) from Urn A and (independently so) one ball from Urn B. What is the probability of the event among the three balls taken out of the urns there are exactly two black ones? (a) 0.15 (b) 0.25 (c) 0.50 (d) none of the above 5. A random variable X that takes on four different values has the following distri- bution: P ( X =- 1) = 2 c, P ( X = 0) = 3 c, P ( X = 1) = 0 . 4 and P ( X = 2) = 0 . 4 ....
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