Bundle: Modern Business Statistics with Microsoft Office Excel, Loose-Leaf Version, 6th + MindTap Business Statistics, 2 terms (12 months) Printed Access Card
Bundle: Modern Business Statistics with Microsoft Office Excel, Loose-Leaf Version, 6th + MindTap Business Statistics, 2 terms (12 months) Printed Access Card
6th Edition
ISBN: 9781337589383
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 16.2, Problem 12E

The Professional Golfers’ Association of America (PGA) collects a wide variety of performance data for members of the PGA Tour. A portion of the 2012 year-end data for 191 PGA Tour players are contained in the DATAfile named PGATour (CBS Sports website, 2013). For each player the variable named Scoring Avg is the average number of strokes per completed round; GIR is the percentage of time the player is able to hit a green in regulation; DriveDist is the average number of yards per measured drive; PPR is the average number of putts the player takes per round; and BPR is the average number of birdies per round.

  1. a. Develop an estimated regression equation that can be used to predict Scoring Average given the percentage of time a player is able to hit a green in regulation.
  2. b. Develop an estimated regression equation that can be used to predict Scoring Average based upon the percentage of time a player is able to hit a green in regulation, the average driving distance, and the average number of putts per round.
  3. c. At the .05 level of significance, test whether the two independent variables added in part (b), the average driving distance and the average number of putts per round, contribute to the estimated regression equation developed in part (a). Explain.
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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy      | 1       2      4       8      16p(y) | .05   .10   .35   .40   .10 a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x)=0.00  :  x < 10.30  :  1≤x<30.40  :  3≤ x < 40.45  :  4≤ x <60.60  :  6≤ x < 121.00  :  12≤ x a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).
59. At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 30% fill their tanks (event B). Of those customers using plus, 60% fill their tanks, whereas of those using premium, 50% fill their tanks.a. What is the probability that the next customer will request plus gas and fill the tank (A2 B)?b. What is the probability that the next customer fills the tank?c. If the next customer fills the tank, what is the probability that regular gas is requested? Plus? Premium?

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