# MAT221-2007Fall - u ce-r MAT 221 Fal12007 MAT 221 Final...

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uce-r Fal12007 MAT 221 MAT 221 Final Version A December 12,2007 Name: Instructor's Name: 1. Be sure that your exam booklet contains all the pages and that you print your name on each page in case your booklet comes apart. 2. Show all ofyour work and label your answers clearly. Unexplained answers will not get full credit. ALL ANSWERS TO BE GIVEN TO 4 DECIMAL PLACES. 3. There are 13 problems. Ofthe 12 pages in this booklet, two are blank (for scrap work). A formula sheet with Tables A, B, C is provided separately. I 1. 7. I 2. 8. I I 3. 9. 4. 10. ! 5. 11. I I 6. i 12. 13. TOTAL: I

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Part 1 (25 pts) 1 (9 pts) A certain national organization gives an annual award. Here are the ages of the recipients for the last 17 years. 22 30 35 40 43 41 26 26 37 26 33 39 35 33 80 25 28 a) (3 pts) Create a stem plot of these data. b) (3pts) Find the five-number summary. (3 pts) List any outliers. If there are none) say so. JustifY your answer using the 1.5 x IQR
2 (9 pts) Is fast food good for you? Here are data from 7 restaurants detailing fat in grams and caloric content. Fat(x) 19 31 34 35 39 39 43 Calories(y) 410 580 590 570 640 680 600 a) (3 pts) Create a scatterplot for these data. y x b) (3 pts) For the scatterplot in a) you are given that x = 34.2857 Sx = 7.804 Y = 581.4286 Sy = 84.7405 r = 0.8864 Find the equation of the regression line of y on x. c) (3 pts) Predict the calories provided at some restaurant that provides 50 grams of fat.

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3 (4 pts) Find the value Zo ofthe standard normal random variable Z so that the probability P(Z ~ zo) = 0.25. 4 (3 pts) The standard normal distribution has mean p = __ and standard deviation (]" = Part 2 (25 pts)
5 (8 pts) Real estate ads suggest that 64 % ofhomes for sale have garages, 21 % have swimming-pools, and 17 % have both features. a) Find the probability that a home for sale has a swimming-pool or a garage. b) Find the probability that it has neither a swimming-pool nor a garage.

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6 (8 pts) An animal lover goes to an animal shelter that has 24 dogs and 18 cats and selects at random one ofthese 42 animals. If a dog is selected, there is only probability 0.3 that the animal lover's spouse will be happy. But if a cat is selected, the probability that the animal lover's spouse will be happy is 0.95. a) Draw a tree diagram for the process ofobtaining an animal and discovering the spouse's response, and label each branch with its associated probability. b) Find the probability that a cat has been selected and the spouse is happy.
7 (5 pts) Dr. Smith treats sick children. 70% ofthe children who visit Dr. Smith have fever. And of the children with fevers, 25 % have a sore throat. Find the probability that a child who visits a doctor has a fever and a sore throat. 8 (2 pts) Your boss wants to conduct an experiment concerning thirty

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## This note was uploaded on 06/17/2011 for the course MATH 221 taught by Professor Na during the Spring '10 term at University of North Carolina School of the Arts.

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MAT221-2007Fall - u ce-r MAT 221 Fal12007 MAT 221 Final...

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