STATS:DATA+MODELS-MY LAB ACC >CUSTOM<
21st Edition
ISBN: 9780137643127
Author: DeVeaux
Publisher: PEARSON
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Chapter 11, Problem 27E
a.
To determine
Check whether the given study is an experimental study.
b.
To determine
Check whether the given study is retrospective or prospective.
c.
To determine
Identify the subjects of the given study.
d.
To determine
Identify the parameter of interest.
e.
To determine
Comment on the nature and scope of the conclusion that will be reached by the experimenter.
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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 11 Solutions
STATS:DATA+MODELS-MY LAB ACC >CUSTOM<
Ch. 11.3 - 1. At one time, a method called “gastric freezing”...Ch. 11.4 - Prob. 2JCCh. 11 - Prob. 1ECh. 11 - 2. E-commerce A business student conjectures that...Ch. 11 - 3. Tips A pizza delivery driver, always trying to...Ch. 11 - 4. Tomatoes You want to compare the tastiness and...Ch. 11 - 5. Tips II For the experiment described in...Ch. 11 - 6. Tomatoes II For the experiment described in...Ch. 11 - 7. Tips again For the experiment of Exercise 3,...Ch. 11 - 8. Tomatoes again For the experiment of Exercise...
Ch. 11 - 9. More tips Is the experiment of Exercise 3...Ch. 11 - 10. More tomatoes If the tomato taster doesn’t...Ch. 11 - 11. Block that tip The driver of Exercise 3 wants...Ch. 11 - 12. Blocking tomatoes To obtain enough plants for...Ch. 11 - 13. Confounded tips For the experiment of Exercise...Ch. 11 - 14. Tomatoes finis What factors might confound the...Ch. 11 - 15. Standardized test scores For his statistics...Ch. 11 - 16. Heart attacks and height Researchers who...Ch. 11 - 17. MS and vitamin D Multiple sclerosis (MS) is an...Ch. 11 - 18. Super Bowl commercials When spending large...Ch. 11 - Prob. 19ECh. 11 - 20. Honesty Coffee stations in offices often just...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 21–34. What’s the design? Read each brief report...Ch. 11 - 35. Omega-3 Exercise 21 describes an experiment...Ch. 11 - 36. Insomnia Exercise 24 describes an experiment...Ch. 11 - 37. Omega-3, revisited Exercises 21 and 35...Ch. 11 - 38. Insomnia, again Exercises 24 and 36 describe...Ch. 11 - 39. Omega-3, finis Exercises 21, 35, and 37...Ch. 11 - 40. Insomnia, at last Exercises 24, 36, and 38...Ch. 11 - 41. Injuries Exercise 33 describes an experiment...Ch. 11 - 42. Tomatoes II Describe a strategy to randomly...Ch. 11 - 43. Shoes A running-shoe manufacturer wants to...Ch. 11 - 44. Swimsuits A swimsuit manufacturer wants to...Ch. 11 - 45. Hamstrings Exercise 33 discussed an experiment...Ch. 11 - 46. Diet and blood pressure An experiment showed...Ch. 11 - Prob. 47ECh. 11 - 48. Contrast baths Contrast bath treatments use...Ch. 11 - 49. Wine A Danish study published in the Archives...Ch. 11 - 50. Swimming Recently, a group of adults who swim...Ch. 11 - 51. Dowsing Before drilling for water, many rural...Ch. 11 - 52. Healing A medical researcher suspects that...Ch. 11 - 53. Reading Some schools teach reading using...Ch. 11 - 54. Gas mileage Do cars get better gas mileage...Ch. 11 - 55. Weekend deaths A study published in the New...Ch. 11 - 56. Shingles A research doctor has discovered a...Ch. 11 - 57. Beetles Hoping to learn how to control crop...Ch. 11 - 58. SAT prep Can special study courses actually...Ch. 11 - 59. Safety switch An industrial machine requires...Ch. 11 - 60. Washing clothes A consumer group wants to test...Ch. 11 - 61. Skydiving, anyone? A humor piece published in...
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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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