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Midterm

# 2012-07_Test_2S.pdf

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University of Toronto St. George

Economics

ECO220Y1

Victor Yu

Summer

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ECMB12H3 Lec 01 60 Quantitative Methods in Economics II Department of Management University of Toronto at Scarborough Summer 2012 Dr Yu Test 2Date Saturday July 21 2012Time allowedTwo 2 hoursAids allowed Calculator and one aid sheet two 85x11 pages prepared by studentNotesThis test consists of 22 questions in 13 pages including this cover pageIt is the students responsibility to hand in all pages of this testAny missing page will get zero markStatistical tables are provided separatelyDo not hand in the tablesOnly hand in your test papersShow your work in each question in Part 2This test is worth 30 of your course gradePrint Last Name SolutionGiven Names Student Number Circle your sectionL01 WednesdayL60 OnlineDo not write on the space below for markers only Page Question Max Marks 27 118 548 19 109 20abc 121011 21abc 121213 22abc 12Total 100 1 Part IMultiple Choice3 points in each question No part mark Circle only one answer If there are more than one correct answer circle the best one21 Letbe the variance of a random sample of size 25 from a population that is normal S2with mean 3 and standard deviation 10 The probabilityis 7292151701857SPclosest toa 01b 03c 05d 07 e 092Sn2472921511247018572 SolutionP7292151701857SP222101022 095005090 415368484313P415368484313P 2 Two large random samples each of size n are selected independently from the sameand standard deviationLet the sample means beand population of mean XX12The probabilityis closest to XXP21nn a 02389 b 03455 c 04778d 05222 e 07611 2 is normal with mean and variance is normal with meanand Solution XX12n2varianceandare independent Thereforeis normal with mean 0 XXXX1221n2222 and variance nnn0011nn ZPZPXXP2122nn2222nn05222 7071070710ZP3 If from a sample the simple regression line of Y on X is found to beand XY2010The sample correlation coefficient the simple regression line of X and Y is YX805is equal toa bcde1604060160402

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