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Unformatted text preview: Name:______________________ ENGRD 270 Fall 2002 Final Exam Thursday 12/19/02 Instructions: (1) Show your work for each problem and clearly identify the final answer where appropriate. (2) The exam is closed book and closed notes, but calculators are indeed allowed . In addition, a fairly comprehensive formula sheet is provided in your exam packet. (3) There are 15 problems altogether. Work steadily, and be sure to show all your work. If you get stuck on a problem, move on to another one and come back to the sticky one later. (4) You may ask the instructor or TA for clarification on the wording of a particular problem, but do not expect any hints or suggestions for how to proceed. (5) Probability tables for z , t , 2 , and F distributions, tables of quality control constants, and formula sheets handed out separately. (6) You have until 11:30 to complete the exam. At 11:40 the box in the front of the room will leave. Papers not in the box at that time will not be graded. Academic Integrity: Please be aware that giving or receiving unauthorized assitance (e.g., using notes, having someone else take the exam for you, copying from a neighbors paper, letting someone else copy your paper, using an internet capable device or other electronic communication device, passing notes, etc.) on the exam is a violation of academic integrity for which you should expect to fail the course if caught. Please also be aware that I didn't know anyone was copying my paper is not a valid excuse for having a paper that is eerily similar to another students. Probability: Basic Statistical Inference: Special Topics: 1__________(5) 8__________(10) 12__________(10) 2__________(5) 9__________(25) 13__________(10) 3__________(5) 10__________(15) 14__________(10) 4__________(5) 11__________(10) 15__________(10) 5__________(15) Subtotal________(60) Subtotal________(40) 6__________(10) 7__________(5) Score: ____________ Subtotal_______(50) 1 2 Problem 1. (5 pts) Multiple choice. A random sample of size n = 200 was drawn from a population. A histogram of the data is shown in the figure. The sample was most likely drawn from which distribution? A. T with 3 degrees of freedom B. Poisson with = 3 C. Skewed normal with = 3 D. Chisquared with 3 degrees of freedom E. Exponential with E [ X ] = 1/3 Problem 2. (5 pts) Multiple choice. Let X 1 , X 2 , X 3 be a random sample from a uniform distribution with unknown mean and unknown variance 2 . Knowing full well that a valid confidence interval based on the t statistic is based on the assumption that the sample is drawn from a normally distributed population, a probabilist constructs a 100(1 )% confidence interval for as 3 / 2 , 2 / s t x ....
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 Fall '05
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