Stat 104 Final Exam Solutions - Fall 2010

# Stat 104 Final Exam - Statistics 104 Quantitative Methods for Economists Fall 2010 Final Examination Directions This exam is open book/open notes

This preview shows pages 1–5. Sign up to view the full content.

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 Parzen’s car with my toothbrush. NAME : _____________Keyser Soze_______________________________ (-50 if not printed) Question Points Obtained Multiple Choice 100 Long 1 5 Long 2 18 Long 3 12 Long 4 Long 5 Total 165

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 Multiple Choice (3 points each) 1) The standard deviation of the normal distribution shown above is approximately a) σ = 100 b) σ = 90 c ) σ = 15 d) σ = 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 n . d) D) The CLT states that the sampling distribution of the population mean is approximately normal, provided that 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 normally-distributed 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? (a) .9512 (b) .9734 (c) .9786 (d) .0264 (e) 0.05 7) What is the probability that the elevator's safe capacity is exceeded by a full load of 15 passengers? (a) 1.0 (b) 2.65 (c) .0041 (d) 0 (e) .0137

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4 The mean length of stay in a hospital is useful for planning purposes. Suppose that the following is the distribution of the length of stay in a hospital after a minor operation.
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 03/27/2012 for the course STATS 104 taught by Professor Michaelparzen during the Fall '11 term at Harvard.

### Page1 / 22

Stat 104 Final Exam - Statistics 104 Quantitative Methods for Economists Fall 2010 Final Examination Directions This exam is open book/open notes

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online