EBK MODERN BUSINESS STATISTICS WITH MIC
5th Edition
ISBN: 9780100475038
Author: williams
Publisher: YUZU
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Textbook Question
Chapter 5.4, Problem 27E
The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of the rating data is shown below. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price.
Quality (x) | Meal Price (y) 1 2 3 |
Total | ||
1 | 42 | 39 | 3 | 84 |
2 | 33 | 63 | 54 | 150 |
3 | 3 | 15 | 48 | 66 |
Total | 78 | 117 | 105 | 300 |
- a. Develop a bivariate probability distribution for quality and meal price of a randomly selected restaurant in this Canadian city. Let x = quality rating and y = meal price.
- b. Compute the expected value and variance for quality rating, x.
- c. Compute the expected value and variance for meal price, y.
- d. The Var(x + y) = 1.6691. Compute the
covariance of x and y. What can you say about the relationship between quality and meal price? Is this what you would expect? - e. Compute the
correlation coefficient between quality and meal price. What is the strength of the relationship? Do you suppose it is likely to find a low-cost restaurant in this city that is also high quality? Why or why not?
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EBK MODERN BUSINESS STATISTICS WITH MIC
Ch. 5.1 - 1. Consider the experiment of tossing a coin...Ch. 5.1 - 2. Consider the experiment of a worker assembling...Ch. 5.1 - 3. Three students scheduled interviews for summer...Ch. 5.1 - Prob. 4ECh. 5.1 - 5. To perform a certain type of blood analysis,...Ch. 5.1 - 6. Listed is a series of experiments and...Ch. 5.2 - 7. The probability distribution for the random...Ch. 5.2 - 8. The following data were collected by counting...Ch. 5.2 - Prob. 9ECh. 5.2 - 10. The percent frequency distributions of job...
Ch. 5.2 - 11. A technician services mailing machines at...Ch. 5.2 - 12. Time Warner Cable provides television and...Ch. 5.2 - 13. A psychologist determined that the number of...Ch. 5.2 - Prob. 14ECh. 5.3 - 15. The following table provides a probability...Ch. 5.3 - 16. The following table provides a probability...Ch. 5.3 - Prob. 17ECh. 5.3 - 18. The American Housing Survey reported the...Ch. 5.3 - 19. West Virginia has one of the highest divorce...Ch. 5.3 - 20. The probability distribution for damage claims...Ch. 5.3 - 21. The following probability distributions of job...Ch. 5.3 - 22. The demand for a product of Carolina...Ch. 5.3 - 23. In Gallup’s Annual Consumption Habits Poll,...Ch. 5.3 - Prob. 24ECh. 5.4 - 25. Given below is a bivariate distribution for...Ch. 5.4 - 26. A person is interested in constructing a...Ch. 5.4 - 27. The Chamber of Commerce in a Canadian city has...Ch. 5.4 - 28. PortaCom has developed a design for a...Ch. 5.4 - 29. J.P. Morgan Asset Management publishes...Ch. 5.4 - 30. In addition to the information in exercise 29...Ch. 5.5 - 31. Consider a binomial experiment with two trials...Ch. 5.5 - Prob. 32ECh. 5.5 - 33. Consider a binomial experiment with n = 20 and...Ch. 5.5 - 34. For its Music 360 survey, Nielsen Co. asked...Ch. 5.5 - 35. The Center for Medicare and Medical Services...Ch. 5.5 - 36. When a new machine is functioning properly,...Ch. 5.5 - Prob. 37ECh. 5.5 - 38. Military radar and missile detection systems...Ch. 5.5 - Twelve of the top 20 finishers in the 2009 PGA...Ch. 5.5 - 42. A Gallup Poll showed that 30% of Americans are...Ch. 5.5 - Prob. 43ECh. 5.6 - 44. Consider a Poisson distribution with μ =...Ch. 5.6 - 45. Consider a Poisson distribution with a mean of...Ch. 5.6 - 46. Phone calls arrive at the rate of 48 per hour...Ch. 5.6 - 47. During the period of time that a local...Ch. 5.6 - In 2011, New York City had a total of 11,232 motor...Ch. 5.6 - 49. Airline passengers arrive randomly and...Ch. 5.6 - 50. According to the National Oceanic and...Ch. 5.6 - The National Safety Council (NSC) estimates that...Ch. 5.7 - Prob. 52ECh. 5.7 - Prob. 53ECh. 5.7 - 54. A recent survey showed that a majority of...Ch. 5.7 - 55. Blackjack, or twenty-one as it is frequently...Ch. 5.7 - 56. Axline Computers manufactures personal...Ch. 5.7 - 57. The Zagat Restaurant Survey provides food,...Ch. 5.7 - Prob. 58ECh. 5 - 59. The U.S. Coast Guard (USCG) provides a wide...Ch. 5 - 60. The Car Repair Ratings website provides...Ch. 5 - 61. The budgeting process for a midwestern college...Ch. 5 - 62. A bookstore at the Hartsfield-Jackson Airport...Ch. 5 - 63. The Knowles/Armitage (KA) group at Merrill...Ch. 5 - Prob. 64SECh. 5 - 65. The following table shows the percentage of...Ch. 5 - Prob. 66SECh. 5 - Prob. 67SECh. 5 - Prob. 68SECh. 5 - Arrivals to a Car Wash. Cars arrive at a car wash...Ch. 5 - Prob. 70SECh. 5 - Prob. 71SECh. 5 - Prob. 72SE
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