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Unformatted text preview: 1 Statistics 104: Quantitative Methods for Economists Fall 2010 Final Examination Directions This exam is open book/open notes. Calculators are allowed but not laptop computers. The exam will end 3 hours after it begins. The exam is divided into two parts. The first part is multiple choice and true/false. Please answer these questions on the exam by circling the best answer (some rounding occurs in several places). The second part of the exam consists of several problems. Please answer these problems in the space provided on the exam (you may use the backs of the sheets if necessary). You will get partial credit for these problems provided that your answers are organized and legible so that your train of thought can be easily followed. Good Luck By Printing my name below I acknowledge that Harvard has an honor code and that I will adhere to it. Failure to abide by the honor code could result in failing this course and having to wash Professor Parzens car with my toothbrush. NAME : ______________________________________________ (50 if not printed) Question Points Obtained Multiple Choice 100 Long 1 5 Long 2 18 Long 3 12 Long 4 12 Long 5 18 Total 165 2 Multiple Choice (3 points each) 1) The standard deviation of the normal distribution shown above is approximately a) = 100 b) = 90 c) = 15 d) = 10 2) As the degrees of freedom for the t distribution increase, the distribution approaches a) The value of zero for the mean. b) The t distribution. c) The normal distribution. d) The binomial distribution. 3) Which of the following statements about the Central Limit Theorem (CLT) is correct? a) The CLT states that the sample mean x is always equal to the population mean, . b) The CLT states that the sampling distribution of the sample mean x is approximately normal for large sample sizes ( 30 n ). c) C) The CLT states that the sample mean x is equal to the population mean , provided that 30 n . d) D) The CLT states that the sampling distribution of the population mean is approximately normal, provided that 30 n 3 An elevator serving a hospital is designed to hold up to 15 passengers and has a maximum safe capacity of 2440 pounds. The weight of passengers who use the elevator is normallydistributed with an average of 149 pounds and a standard deviation of 20 pounds. 4) What is the probability that a single passenger on the elevator weighs between 140 and 150 pounds? (a) .1736 (b) .1537 (c) .2236 (d) .1936 (e) .1915 5) What is the probability that a single passenger on the elevator weighs more than 200 pounds? (a) .9946 (b) .4946 (c) .0054 (d) .5054 (e) .9954 6) If five passengers enter the elevator together, what is the probability that all five of them weigh 200 pounds or less?...
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This note was uploaded on 03/27/2012 for the course STATS 104 taught by Professor Michaelparzen during the Fall '11 term at Harvard.
 Fall '11
 MichaelParzen
 Statistics

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