sample_final - Stat 3011, Spring 2010 Sample Final Exam...

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Unformatted text preview: Stat 3011, Spring 2010 Sample Final Exam Stat 3011: Sample Final Exam Sample Name: Instructions • From Craig: This is a sample exam that was written by another instructor. The structure of our final exam will be similar to this sample exam. Our exam may include some material we have covered in class that is not on this sample exam. Therefore, this sample exam will be a good place to start studying, but it should not be your only source. • The instructions below will also refer to our final exam in Spring 2010: • Read each question carefully. • The exam is closed book. You may use a calculator and 3 sheets of paper (size 8.5” x 11”) with hand-written formulas or other notes on both sides. No sharing of calculators or formula sheets is allowed. • This exam must be your own work entirely. You may not share information with anyone. Any scholastic dishonesty related to this exam will result in an F for the course and a report to the University’s Office of Student Conduct and Academic Integrity. • You must provide sufficient details to receive full credit. • The Normal, t , χ 2 and F distribution tables will be attached to the end of the exam. 1/23 Stat 3011, Spring 2010 Sample Final Exam Problem 1 - Multiple Choice and Short Answer Circle one of the listed choices for each question or answer the question directly (no explanation is needed). 1. Suppose we are considering students at the University of Minnesota. Suppose 85% of all students own a cell phone, 40% own a car, and 5% own neither a car or a cell phone. What is the probability that a randomly selected student owns both a car and cell phone? (a) .10 (b) .30 (c) .55 2. Suppose you take 50 measurements on the speed of cars on I-94, and that the measure- ments follow roughly a Normal distribution. Do you expect the standard deviation of these measurements to be about: (a) 1 mph (b) 10 mph (c) 20 mph 3. Which of the following is not a statistic: (a) ¯ x , the sample mean. (b) p , the true population proportion. (c) s , the sample standard deviation. 4. Which of the following is the largest : (a) P ( Z > 1) where Z ∼ N (0 , 1). (b) P ( t 8 > 1) where t 8 ∼ t-distribution with 8 degrees of freedom. (c) P ( X > 1) where X ∼ N ( − 1 , 1). 5. If you roll two dice simultaneously and add the sum of the dots, which of the following is least likely? (a) Getting a total of 7. (b) Getting a total of 3. (c) Getting a total of 12. 6. Suppose 75% of all students at a large university own a computer. If 4 students are selected independently of each other, the probability that exactly one of them owns a computer is: • 2/23 Stat 3011, Spring 2010 Sample Final Exam 7. If the calculated t statistic is -2.1 for testing H : μ = 3 versus H a : μ < 3, based on a sample of size n = 12, then (a) .01 < P-value < .02 (b) .02 < P-value < .025 (c) .025 < P-value < .05 (d) .05 < P-value < .10 8. Suppose events A and B are independent, with P ( B | A ) = . 4 and P ( A ) = . 3. Then, P ( B ) = (a) .12(a) ....
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sample_final - Stat 3011, Spring 2010 Sample Final Exam...

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