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Exam2004 - University of Ottawa NAME Time 3 hours Total...

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University of Ottawa Faculty of Administration ADM 2303: STATISTICS FOR MANAGEMENT I FINAL EXAMINATION December 9, 2004 NAME S.N. Section: A B C D E F G H Time: 3 hours Total marks:63 Put your name on THIS sheet too! – YOUR EXAM IS UNIQUE. Statement of Academic Integrity The School of Management does not condone academic fraud, an act by a student that may result in a false academic evaluation of that student or of another student. Without limiting the generality of this definition, academic fraud occurs when a student commits any of the following offences: plagiarism or cheating of any kind, use of books, notes, mathematical tables, dictionaries or other study aid unless an explicit written note to the contrary appears on the exam, to have in his/her possession cameras, radios (radios with head sets), tape recorders, pagers, cell phones, or any other communication device which has not been previously authorized in writing. Note: an examination answer sheet without the signed statement will not be graded and will receive a final exam grade of zero. ALL ANSWERS (INCLUDING BRIEF EXPLANATIONS) GO ON THE ANSWER SHEET. The exam question sheets will not be marked, though space on the back of sheets is provided here for your rough work. Deposit question sheets in the box provided to allow for verification if needed. Note that there are marks for explaining your answers, so make sure you include brief explanations on the ANSWER sheet. There are marks for identifying probability distributions. Calculators, 1 double-sided sheet of notes, on 8.5" by 11" paper (no stick-ons!) are allowed. In using tables, you do not need to interpolate, but take the nearest table value. Q1. In 1903, K. Pearson and A . Lee published a paper entitled "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol 2). From information presented in that paper, forearm lengths of men, measured from the elbow to the middle fingertip have a mean of 47.8 centimeters and a standard deviation of 2.8 centimeters. For the moment, assume the forearm length is Gaussian (normally) distributed. a) [ 2 ] Compute the 90th percentile of the forearm length. b) [ 3 ] It is believed that if a forearm length is shorter than 45.0 cm or longer than 52.2 cm that forearm is abnormal. Determine the probability that two randomly selected men will both have an abnormal forearm.
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