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Unformatted text preview: ADM 2303 Final Examination  1  December ??, 2001 University of Ottawa Faculty of Administration ADM 2303: STATISTICS FOR MANAGEMENT I FINAL EXAMINATION December 17, 2001 NAME S.N. Section: A B C D Time: 3 hours Total marks:65 + bonus 2 Put your name on THIS sheet – YOUR EXAM IS UNIQUE. ALL ANSWERS (INCLUDING BRIEF EXPLANATIONS) GO ON THE ANSWER SHEET. THE EXAM QUESTION SHEETS WILL NOT BE MARKED, though space is provided here for your rough work. The question sheets must be deposited in the box provided. 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 sheet of notes, on 8.5" by 11" paper (no stickons!). You do not need to interpolate, but take the nearest table value. 1. An epidemiologist notes that only 8% of those using medicated mosquito nets in an endemic area get malaria, while 65% of those not using nets become ill. The epidemiologist notes that in the group he studied, people only used the medicated nets or no net at all, and that about 32% of people became ill with malaria. In his records, the sheet of paper giving the proportion using nets is unfortunately discarded. a) [ 4 ] What is the proportion of people using the nets? b) [ 2 ] If someone has become ill, what is the probability they were using a net? 2. The Polluchem factory has been discharging imbecillium, a chemical pollutant that can render people incapable of solving statistics problems. The amounts discharged per day have historically been approximately Gaussian distributed with a mean per day of 2.8 g and a standard deviation of 0.46 g. The company states “our discharges are less than 3 g per day”. a) [ 3 ] What percentage of days will discharges be less than 2 g? b) [ 2 ] Two days are chosen randomly. What is the probability that both will have discharges above 2 g? c) [ 6 ] An Environment Ministry worker thinks Polluchem may be producing more imbecillium than it claims. A sample of 8 randomly chosen days show discharges as follows: 2.73 3.36 2.81 3.19 3.8 2.58 2.92 2.99 Given this sample of discharges, should the Environment worker conclude that discharges are now greater than the historical value of 2.8g suggested at the start of this question? Support your argument with an appropriate calculation, possibly approximate. Note that a historical standard deviation is available. ADM 2303 Final Examination  2  December ??, 2001 d) [ 5 ] If the Environment worker does NOT have a historical value for the standard deviation of discharges, should he/she conclude that discharges are now greater than the historical value? Support your argument with an appropriate calculation, possibly approximate....
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 Winter '00
 Phansalker
 Management, Normal Distribution, Standard Deviation, nets

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