Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)
6th Edition
ISBN: 9780357228708
Author: David R. Anderson; Dennis J. Sweeney; Thomas A. Williams
Publisher: Cengage Learning US
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Textbook Question
Chapter 5, Problem 1CP
Great Grasslands Grains, Inc. (GGG) manufactures and sells a wide variety of breakfast cereals. GGG’s product development lab recently created a new cereal that consists of rice flakes and banana-flavored marshmallows. The company’s marketing research department has tested the new cereal extensively and has found that consumers are enthusiastic about the cereal when 16-ounce boxes contain at least 1.6 ounces and no more than 2.4 ounces of the banana-flavored marshmallows.
As GGG prepares to begin producing and selling 16-ounce boxes of the new cereal, which it has named Go Bananas!, management is concerned about the amount of banana-flavored marshmallows. It wants to be careful not to include less than 1.6 ounces or more than 2.4 ounces of banana-flavored marshmallows in each 16-ounce box of Go Bananas! Tina Finkel, VP of Production for GGG, has suggested that the company measure the weight of banana-flavored marshmallows in a random sample of 25 boxes of Go Bananas! on a weekly basis. Each week, GGG can count the number of boxes out of the 25 boxes in the sample that contain less than 1.6 ounces or more than 2.4 ounces of banana- flavored marshmallows; if the number of boxes that fail to meet the standard weight of banana-flavored marshmallows is too high, production will be shut down and inspected.
Ms. Finkel and her staff have designed the production process so that only 8% of all 16-ounce boxes of Go Bananas! fail to meet the standard weight of banana-flavored marshmallows. After much debate, GGG management has decided to shut down production of Go Bananas! if at least five boxes in a weekly sample fail to meet the standard weight of banana-flavored marshmallows.
Managerial Report
Prepare a managerial report that addresses the following issues.
- 1. Calculate the
probability that a weekly sample will result in a shutdown of production if the production process is working properly. Comment on GGG management’s policy for deciding when to shut down production of Go Bananas!. - 2. GGG management wants to shut down production of Go Bananas! no more than 1% of the time when the production process is working properly. Suggest the appropriate number of boxes in the weekly sample that must fail to meet the standard weight of banana-flavored marshmallows in order for production to be shut down if this goal is to be achieved.
- 3. Ms. Finkel has suggested that if given sufficient resources, she could redesign the production process to reduce the percentage of 16-ounce boxes of Go Bananas! that fail to meet the standard weight of banana-flavored marshmallows when the process is working properly. To what level must Ms. Finkel reduce the percentage of 16-ounce boxes of Go Bananas! that fail to meet the standard weight of banana-flavored marshmallows when the process is working properly in order for her to reduce the probability at least five of the sampled boxes fail to meet the standard to .01 or less?
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Chapter 5 Solutions
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)
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 - 9. For unemployed persons in the United States,...Ch. 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 - 17. During the summer of 2014, Coldstream Country...Ch. 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 - 37. According to a 2013 study by the Pew Research...Ch. 5.5 - 38. Military radar and missile detection systems...Ch. 5.5 - 39. Market-share-analysis company Net Applications...Ch. 5.5 - 42. A Gallup Poll showed that 30% of Americans are...Ch. 5.5 - Tracked Emails. According to a 2017 Wired magazine...Ch. 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 - Prob. 48ECh. 5.6 - 49. Airline passengers arrive randomly and...Ch. 5.6 - 50. According to the National Oceanic and...Ch. 5.6 - 51. Over 500 million tweets are sent per day...Ch. 5.7 - 52. Suppose N = 10 and r = 3. Compute the...Ch. 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 -
Suppose that a shipment of 100 boxes of apples...Ch. 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 - 64. The Pew Research Center surveyed adults who...Ch. 5 - 65. The following table shows the percentage of...Ch. 5 - Prob. 66SECh. 5 - 67. PBS News Hour reported that 39.4% of Americans...Ch. 5 - Prob. 68SECh. 5 - Arrivals to a Car Wash. Cars arrive at a car wash...Ch. 5 - Prob. 70SECh. 5 - Prob. 71SECh. 5 - Prob. 72SECh. 5 - Great Grasslands Grains, Inc. (GGG) manufactures...Ch. 5 - Harriet McNeil, proprietor of McNeil’s Auto Mall,...Ch. 5 -
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