ioe265f11-Practice+Final-1+_1_

ioe265f11-Practice+Final-1+_1_ - IOE 265 F2011 Practice...

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IOE 265 F2011 Practice Final Exam 1 of 15 Part I. Multiple Choice (10 questions, 4 points each, 40 points total) 1. If P ( A ) = 0.30, P ( B) = 0.10 and events A and B are independent, then P is A. 0.63 B. 0.70 C. 0.90 D. 0.40 2. A random sample of size 100 is drawn from a population with mean of 50 and standard deviation of 8. Let be the sample total (). Then, is equal to: A. 800 B. 6.25 C. 80 D. 500 3. An experiment consists of three parts. There are five ways to accomplish the first part, four ways to accomplish the second part, and three ways to accomplish the third part. The total number of ways to accomplish the experiment is A. 60 B. 20 C. 15 D. 12 4. Which of the following statements is not true? A. The sample variance is a point estimator of the population variance. B. Maximum likelihood estimation (MLE) is one of the methods used in point estimation. C. The principle of unbiased estimation refers to choosing an estimator with minimum variance. D. The sample mean is a point estimator of the population mean. 5. If a random variable follows an exponential distribution with (based on a sample of 50 observations), which of the following would represent a large-sample, two-sided 95% confidence interval for (the population mean)? Note: Assume normality based on a large sample size. A. (0.36, 0.64) B. (0.43, 0.57) C. (1.44, 2.55) D. (0.89, 3.11) 6. If P ( A / B ) = P ( A ), and P ( B / A ) = P ( B ) , then events A and B are said to be
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Practice Final Exam 2 of 15 A. mutually exclusive B. dependent C. independent D. disjoint 7. Let be a random sample from a distribution with mean and variance . Then if n is sufficiently large, the mean has approximately a normal distribution with mean and variance. This result is known as the: A. Approximation Theorem B. Central Limit Theorem C. Estimation Theorem D. Mean Value Theorem 8. Which of the following statements are true? A. For any discrete rv X and constants a and b , E ( aX + b ) = ( a + b ) E ( X ) B. For any discrete rv X and constants a and b , V ( aX+b ) = C. If a constant c is added to each possible value of a discrete random variable X , then the variance of X will be shifted by that same constant amount. D. If a constant c is added to each possible value of a discrete random variable X , then the expected value of X will be shifted by that same constant amount. 9. Which of the following probability distributions is used to calculate the confidence interval for the variance of a normal population? A. Gamma B. Normal C. Chi-Squared D. None of the above 10. If X has a normal distribution with mean and standard deviation, and Z is the standard normal random variable whose cumulative distribution function is, then which of the following statements are not correct? A.
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This note was uploaded on 01/05/2012 for the course IOE 265 taught by Professor Jin during the Fall '07 term at University of Michigan.

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ioe265f11-Practice+Final-1+_1_ - IOE 265 F2011 Practice...

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