Math1005 sample.pdf

# Math1005 sample.pdf - 8005A Semester 2 2013 The University...

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8005A Semester 2 2013 The University of Sydney Faculties of Arts, Economics, Education, Engineering and Science MATH1005 Statistics November 2013 Lecturers: N Armstrong D Warren Time Allowed: One and a half hours Family Name: ..................................................................... Other Names: SID: ............. Seat Number: This examination has two sections: Multiple Choice and Extended Answer. The Multiple Choice Section is worth 50% of the total examination; there are 25 questions; the questions are of equal value; all questions may be attempted. Answers to the Multiple Choice questions must be entered on the Multiple Choice Answer Sheet. The Extended Answer Section is worth 50% of the total examination; there are 3 questions; the questions are of equal value; all questions may be attempted; working must be shown. Statistical tables will be supplied. Approved non-programmable calculators may be used. THE QUESTION PAPER MUST NOT BE REMOVED FROM THE EXAMINATION ROOM. Marker’s use only Page 1 of 30

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8005A Semester 2 2013 Page 10 of 30 Extended Answer Section Answer these questions in the spaces provided 1. [ 15 marks ]Thefo l low ingR-outputg ivesthescoresobta inedontwod i erentcogn it ive tests x i and y i for i =1 , 2 ,..., 15 by 15 di erent people: >x = c ( 2 9 , 3 6 , 2 3 , 3 7 , 5 4 , 2 7 , 5 7 , 3 2 , 3 9 , 6 5 , 2 9 , 4 6 , 3 7 , 2 9 , 5 3 ) >y = c ( 3 , 8 , 4 , 6 , 1 2 , 3 , 1 1 , 7 , 4 , 1 5 , 6 , 1 2 , 2 , 0 , 9 ) The following scatterplot was produced for the 15 observations, showing the score from cognitive test 1 on the x-axis and the score from cognitive test 2 on the y-axis. 30 40 50 60 0 5 10 15 x y Below appears a series of questions interspersed with some R calculations and output. Carefully study the R output and answer the questions in the spaces provided.

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8005A Semester 2 2013 Page 12 of 30 (a) [ 3marks ] What are the median and quartiles of the Frst cognitive test scores?
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