practice_final_exams_solutions

Practice_final_exams - Practice Exam 1 Solutions Final Examination Directions The exam will end 3 hours minutes after it begins The exam is divided

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Practice Exam 1 Solutions Final Examination Directions The exam will end 3 hours minutes after it begins. The exam is divided into two parts. The first part is multiple choice. Please answer the multiple choice 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. All answers must also be transferred to the answer sheet to be fully counted. Good Luck DON'T EVEN THINK ABOUT PANICING 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 : ______________________________________________ (-50 if not printed)
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1) A hypothesis test is used to prevent a machine from under-filling or overfilling quart bottles of beer. On the basis of a sample, the null hypothesis is rejected and the machine is shut down for inspection. A thorough examination reveals there is nothing wrong with the filling machine. From a statistical point of view: a. A correct decision was made. b. A Type I and Type II error were made. c. A Type I error was made. d. A Type II error was made. 2) The median waiting time for patients to see a doctor at a local emergency room is much smaller than the mean waiting time. Which of the following is most consistent with this information (circle one): a. A histogram of the waiting times would be symmetric. b. A histogram of the waiting times would be left-skewed. c. A histogram of the waiting times would be right-skewed. 3) A student is studying very hard in a fluid dynamics course, but he knows he will either pass or not pass. Suppose this student, Jack Daniels, has a probability of 0.90 for studying the night before the exam. Also, he has a probability of 0.75 for passing the exam. If the probability of passing the exam, given that he studied the night before, is 0.82, what may you conclude? a. The probability of Jack not passing the exam is 0.10. b. P(Jack studies OR Jack passes) is greater than 0.75. c. P(Jack does not pass AND Jack studies) is greater than 0.5. d. P(Jack passes AND Jack studies) is greater than 0.75. e. None of the above 4) Suppose a computer processor yielded the following random sample of binary digits: 0101001101010100010000010101010001011010 01010010010101010100110001011010 Is the computer processor yielding an even distribution of ones and zeros? If the above sample contains 72 digits, of which thirty are “ones”, what is the value of the test statistic to answer this question? a.
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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.

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Practice_final_exams - Practice Exam 1 Solutions Final Examination Directions The exam will end 3 hours minutes after it begins The exam is divided

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