Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card)
6th Edition
ISBN: 9780357191484
Author: David R. Anderson; Dennis J. Sweeney; Thomas A. Williams
Publisher: Cengage Learning US
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Textbook Question
Chapter 5.5, Problem 39E
Market-share-analysis company Net Applications monitors and reports on Internet browser usage. According to Net Applications, in the summer of 2014, Google’s Chrome browser exceeded a 20% market share for the first time, with a 20.37% share of the browser market (Forbes website, December 15, 2014). For a randomly selected group of 20 Internet browser users, answer the following questions.
- a. Compute the
probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser. - b. Compute the probability that at least 3 of the 20 Internet browser users use Chrome as their Internet browser.
- c. For the sample of 20 Internet browser users, compute the expected number of Chrome users.
- d. For the sample of 20 Internet browser users, compute the variance and standard deviation for the number of Chrome users.
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Question 4
An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a
silver powder production process. This product is used in conductive pastes to manufacture a wide variety of
products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm²) and surface area
(cm/g) are the two critical characteristics of this product. The experiments involved three factors: reaction
temperature, ammonium percentage, stirring rate. Each of these factors had two levels, and the design was
replicated twice. The design is shown in Table 3.
A222222222222233
Stir Rate
(RPM)
Ammonium
(%)
Table 3: Silver Powder Experiment from Exercise 13.23
Temperature
(°C)
Density
Surface Area
100
8
14.68
0.40
100
8
15.18
0.43
30
100
8
15.12
0.42
30
100
17.48
0.41
150
7.54
0.69
150
8
6.66
0.67
30
150
8
12.46
0.52
30
150
8
12.62
0.36
100
40
10.95
0.58
100
40
17.68
0.43
30
100
40
12.65
0.57
30
100
40
15.96
0.54
150
40
8.03
0.68
150
40
8.84
0.75
30
150…
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 -
Grievance Committee at Tuglar Corporation
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- - + ++ Table 2: Crack Experiment for Exercise 2 A B C D Treatment Combination (1) Replicate I II 7.037 6.376 14.707 15.219 |++++ 1 བྱ॰༤༠སྦྱོ སྦྱོཋཏྟཱུ a b ab 11.635 12.089 17.273 17.815 с ас 10.403 10.151 4.368 4.098 bc abc 9.360 9.253 13.440 12.923 d 8.561 8.951 ad 16.867 17.052 bd 13.876 13.658 abd 19.824 19.639 cd 11.846 12.337 acd 6.125 5.904 bcd 11.190 10.935 abcd 15.653 15.053 Question 3 Continuation of Exercise 2. One of the variables in the experiment described in Exercise 2, heat treatment method (C), is a categorical variable. Assume that the remaining factors are continuous. (a) Write two regression models for predicting crack length, one for each level of the heat treatment method variable. What differences, if any, do you notice in these two equations? (b) Generate appropriate response surface contour plots for the two regression models in part (a). (c) What set of conditions would you recommend for the factors A, B, and D if you use heat treatment method C = +? (d) Repeat…arrow_forwardQuestion 2 A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content (B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The data are shown in Table 2. 1 (a) Estimate the factor effects. Which factor effects appear to be large? (b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05. (c) Write down a regression model that can be used to predict crack length as a function of the significant main effects and interactions you have identified in part (b). (d) Analyze the residuals from this experiment. (e) Is there an…arrow_forwardA 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data from this experiment are shown in Table 4. Table 4: Resistivity Experiment for Exercise 5 Run A B с D Resistivity 1 23 2 3 4 5 6 7 8 9 10 11 12 I+I+I+I+Oooo 0 0 ||++TI++o000 33.2 4.6 31.2 9.6 40.6 162.4 39.4 158.6 63.4 62.6 58.7 0 0 60.9 3 (a) Estimate the factor effects. Plot the effect estimates on a normal probability scale. (b) Identify a tentative model for this process. Fit the model and test for curvature. (c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on this plot of model inadequacy? (d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the normality assumption?arrow_forward
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