2006-10+Test1S - ECMB11H3 Sections L30 and L60 Quantitative...

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1 ECMB11H3 Sections L30 and L60 Quantitative Methods in Economics I Department of Management University of Toronto at Scarborough Fall 2006 Dr. Yu Test 1 Date: Saturday October 14, 2006 Time allowed: Two (2) hours Aids allowed: Calculator and one aid sheet (two 8.5”x11” pages) prepared by student. Notes: This test consists of 24 questions in 10 pages including this cover page. It is the student’s responsibility to hand in all pages of this test. Any missing page will get zero mark. Show your work in each question in Part II. This test is worth 30% of your course grade. Print Last Name: Solution Given Name(s): Student Number: Do not write on the space below, for markers only. Page Question Max Mark 2-6 1-20 60 7 21 10 8 22 10 9 23 10 10 24 10 Total 100
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2 Part I. Multiple Choice. 3 marks in each question. No part mark. Circle only one answer . If there are more than one correct answer, circle the best one . 1. Given a sample of 3 observations: 1, 0, -1. The sample variance is (a) 0 (b) 3 2 (c) 1 (d) 3 (e) none of these 2. A sample of 25 observations on the number of cars passing a point on a highway per minute is given as 10, 12, 11, …, 16. Given the following calculations: 10+12+11+…+16=350 and 5764 16 ... 11 12 10 2 2 2 2 = + + + + The sample standard deviation is equal to (a) 6 (b) 14 (c) 25 (d) 36 (e) none of these 3. A department of transportation’s study on driving speed and mileage for midsize cars resulted in the following sample data, where x = driving speed, and y = mileage. Some calculations are also given. x y x x () 2 x x y y () 2 y y () () y y x x 30 28 -12 144 1 1 -12 50 25 8 64 -2 4 -16 40 25 -2 4 -2 4 4 55 23 13 169 -4 16 -52 30 30 -12 144 3 9 -36 25 32 -17 289 5 25 -85 60 21 18 324 -6 36 -108 25 35 -17 289 8 64 -136 50 26 8 64 -1 1 -8 55 25 13 169 -2 4 -26 Total 420 270 0 1660 0 164 -475 The sample correlation coefficient between x and y is closest to (a) – 0.3721 (b) – 0.5122 (c) – 0.6102 (d) – 0.8124 (e) – 0.9104 4. Suppose children watch an average of 3 hours of television per day with a standard deviation of 1 hour. The percentage of children watches television between 1.5 and 4.5 hours is (a) at least 55.5% (b) at least 75% (c) at least 81.5% (d) approximately 75% (e) approximately 81.5%
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3 5. Suppose children watch an average of 3 hours of television per day with a standard deviation of 1 hour. If the distribution of the time spent on watching television has a bell shape distribution. The percentage of children watches television between 2 and 5 hours is (a) at least 55.5% (b) at least 75% (c) at least 81.5% (d) approximately 75% (e) approximately 81.5% 6. Let A and B be two events, 3 . 0 ) ( = A P and 4 . 0 ) ( = B P . Which one of the following statements is always true? (a) If
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2006-10+Test1S - ECMB11H3 Sections L30 and L60 Quantitative...

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