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FINAL EXAM - FALL 2005 2320

# FINAL EXAM - FALL 2005 2320 - YORK UNIVERSITY ATKINSON...

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YORK UNIVERSITY ATKINSON COLLEGE Department of Administrative Studies AK/ADMS 2320.3.0 - Quantitative Methods 1 FALL 2005 - FINAL EXAMINATION December 10, 2005 Time Allowed: 3 hours H. Bartel Section B Section C A. Marshall Section A Section K P. Ng Section I R. Huang Section H S. Abdullah Section L G. O’Keefe Section D Section E Section F Section G Section J INSTRUCTIONS: 1. You must write this exam in the section in which you are enrolled. 2. This is a closed book examination. 3. Answer all questions on examination paper where space is provided. YOU MUST SHOW ALL YOUR WORK. 4. Record Multiple Choice answers in pencil on the Scantron sheet provided . 5. Aids allowed: writing utensils, eraser, silent, non-programmable calculator, two sides of 8 ½” x 11” formula sheet, and English paper-based dictionary. 6. Calculations are to be to the 4 th decimal place. 7. YOU MUST HAND IN THIS EXAM BEFORE LEAVING THE EXAMINATION ROOM. FAILURE TO DO SO WILL RESULT IN AN AUTOMATIC F GRADE. MARKS: Question 1: (7) Student’s Name (Print) Question 2: (25) Question 3: (15) Question 4: (13) Student Number Question 5: (20) Question 6: (20) Signature TOTAL: (100) THIS EXAM CONTAINS 28 PAGES (INCLUDING COVER PAGE AND TABLES). DO NOT REMOVE ANY PAGES

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AK/ADMS 2320.3.0 2 of 28 FINAL EXAMINATION FALL 2005 Question 1 (7 marks) As a manufacturer of golf clubs, a major corporation wants to estimate the proportion of golfers who are right-handed. The manufacturer has information from a previous study which suggested that 75% of golfers are right-handed. How many golfers must be surveyed if they want to be within 0.02, with a 95% confidence? Need solutions? Go to... www.statsdoesntsuck.com
AK/ADMS 2320.3.0 3 of 28 FINAL EXAMINATION FALL 2005 Question 2 (25 marks) Random samples of two brands of whole milk are checked for their fat content as follows: 33 half-gallon containers of each brand are selected, and the fat content is measured (in grams). The resulting data are shown in the accompanying table. BRAND A BRAND B 30 26 36 24 33 17 26 33 35 27 20 21 31 20 32 22 18 18 27 28 27 31 26 25 37 27 29 30 25 27 28 31 33 25 20 24 31 35 27 22 22 24 29 30 30 26 24 20 25 26 36 29 33 18 27 29 30 22 25 20 25 31 27 30 26 27 a. Can we conclude at the 5% significance level that the variability in fat content of Brand A is different from that of Brand B? = = 200 , 29 974 2 A A x x = = 037 , 20 801 2 B B x x Need solutions? Go to... www.statsdoesntsuck.com

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AK/ADMS 2320.3.0 4 of 28 FINAL EXAMINATION FALL 2005 b. Estimate with 95% confidence the difference in mean fat content between Brand A and Brand B. Need solutions? Go to... www.statsdoesntsuck.com
AK/ADMS 2320.3.0 5 of 28 FINAL EXAMINATION FALL 2005 c. Any container that contains 30 g or more of fat is considered unacceptable. Is there enough evidence to conclude that Brand A has a higher fraction of unacceptable containers than Brand B? (Use " = .01) d. What is the p-value of the test in part (c)?

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