Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 10, Problem 96SE
a.
To determine
Explain the distributional assumption is needed to test the claim that the variance of resistance of the product from vendor 1 is not significantly different from the variance of resistance of the product from vendor 2.
Check the assumption using graphical procedure.
b.
To determine
Check whether there is evidence to support the claim that the variance of resistance of the product from vendor 1 is significantly different from the variance of resistance of the product from vendor 2.
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The following relates to Problems 4 and 5.
Christchurch, New Zealand experienced a major earthquake on February 22, 2011. It destroyed 100,000
homes. Data were collected on a sample of 300 damaged homes. These data are saved in the file called
CIEG315 Homework 4 data.xlsx, which is available on Canvas under Files. A subset of the data is
shown in the accompanying table. Two of the variables are qualitative in nature: Wall construction and
roof construction. Two of the variables are quantitative: (1) Peak ground acceleration (PGA), a measure
of the intensity of ground shaking that the home experienced in the earthquake (in units of acceleration of
gravity, g); (2) Damage, which indicates the amount of damage experienced in the earthquake in New
Zealand dollars; and (3) Building value, the pre-earthquake value of the home in New Zealand dollars.
PGA (g) Damage (NZ$) Building Value (NZ$) Wall Construction Roof Construction
Property ID
1
0.645
2
0.101
141,416
2,826
253,000
B
305,000
B
T
3…
Chapter 10 Solutions
Applied Statistics and Probability for Engineers
Ch. 10.1 - 10-1. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.1 - 10-2. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.1 - Prob. 3ECh. 10.1 - 10-4. Two machines are used for filling plastic...Ch. 10.1 - Prob. 5ECh. 10.1 - 10-6. The burning rates of two different...Ch. 10.1 - 10-7. Two different formulations of an oxygenated...Ch. 10.1 - 10-8. A polymer is manufactured in a batch...Ch. 10.1 - 10-9. The concentration of active ingredient in a...Ch. 10.1 - 10-10. An article in Industrial Engineer...
Ch. 10.1 - 10-11. Reconsider the data from Exercise 10-10....Ch. 10.1 - 10-12. Reconsider the study described in Exercise...Ch. 10.1 - 10-13. In their book Statistical Thinking (2nd...Ch. 10.2 - 10-14. Consider the following computer...Ch. 10.2 - 10-15. Consider the computer output...Ch. 10.2 - 10-16. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.2 - 10-17. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.2 - 10-18. Consider the hypothesis test H0 : μ1 = μ2...Ch. 10.2 - 10-19. The diameter of steel rods manufactured on...Ch. 10.2 - 10-20. An article in Fire Technology investigated...Ch. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - 10-23. In semiconductor manufacturing, wet...Ch. 10.2 - 10-24. Two suppliers manufacture a plastic gear...Ch. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - 10-27. Two companies manufacture a rubber material...Ch. 10.2 - 10-28. The thickness of a plastic film (in mils)...Ch. 10.2 - 10-29. An article in Electronic Components and...Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - 10-33. The overall distance traveled by a golf...Ch. 10.2 - 10-34. The “spring-like effect” in a golf club...Ch. 10.2 - 10-35. Reconsider the paper towel absorbency data...Ch. 10.2 - 10-36. European scientists sampled rivers in...Ch. 10.2 - 10-37. Olympic swimmers are seeded according to...Ch. 10.2 - Prob. 38ECh. 10.2 - 10-39. An article in Polymer Degradation and...Ch. 10.2 - 10-40. An article in Quality Engineering [2012,...Ch. 10.3 - 10-41. An electrical engineer must design a...Ch. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - 10-47. Another nonparametric test known as Tukey’s...Ch. 10.3 - Prob. 48ECh. 10.4 - 10-49. Consider the shear strength experiment...Ch. 10.4 - Prob. 50ECh. 10.4 - Prob. 51ECh. 10.4 - Prob. 52ECh. 10.4 - Prob. 53ECh. 10.4 - Prob. 54ECh. 10.4 - 10-55. Ten individuals have participated in a...Ch. 10.4 - Prob. 56ECh. 10.4 - 10-57. An article in Neurology (1998, Vol. 50, pp....Ch. 10.4 - Prob. 58ECh. 10.4 - Prob. 59ECh. 10.4 - 10-60. Repeat Exercise 10-59 using the Wilcoxon...Ch. 10.4 - 10-61. Neuroscientists conducted research in a...Ch. 10.4 - Prob. 62ECh. 10.5 - 10-63. For an F distribution, find the...Ch. 10.5 - Prob. 64ECh. 10.5 - Prob. 65ECh. 10.5 - 10-66. Consider the hypothesis test against ....Ch. 10.5 - 10-67. Consider the hypothesis test against ....Ch. 10.5 - Prob. 68ECh. 10.5 - Prob. 69ECh. 10.5 - Prob. 70ECh. 10.5 - Prob. 71ECh. 10.5 - 10-72. Consider the gear impact strength data in...Ch. 10.5 - Prob. 73ECh. 10.5 - Prob. 74ECh. 10.5 - 10-75. Reconsider the overall distance data for...Ch. 10.5 - 10-76. Reconsider the coefficient of restitution...Ch. 10.5 - Prob. 77ECh. 10.5 - Prob. 78ECh. 10.5 - Prob. 79ECh. 10.5 - Prob. 80ECh. 10.5 - Prob. 81ECh. 10.6 - 10-82. Consider the following computer...Ch. 10.6 - Prob. 83ECh. 10.6 - Prob. 84ECh. 10.6 - Prob. 85ECh. 10.6 - Prob. 86ECh. 10.6 - Prob. 87ECh. 10.6 - 10-88. A random sample of 500 adult residents of...Ch. 10.6 - Prob. 89ECh. 10.6 - Prob. 90ECh. 10.6 - Prob. 91ECh. 10.6 - 10-92 Consider the highway speed limit data...Ch. 10 - Prob. 93SECh. 10 - Prob. 94SECh. 10 - Prob. 95SECh. 10 - Prob. 96SECh. 10 - 10-97. A liquid dietary product implies in its...Ch. 10 - Prob. 98SECh. 10 - Prob. 99SECh. 10 - Prob. 100SECh. 10 - Prob. 101SECh. 10 - 10-102. In a random sample of 200 Phoenix...Ch. 10 - 10-103. Consider the previous exercise, which...Ch. 10 - Prob. 104SECh. 10 - 10-105. Two machines are used to fill plastic...Ch. 10 - Prob. 106SECh. 10 - Prob. 107SECh. 10 - Prob. 108SECh. 10 - Prob. 109SECh. 10 - 10-110. An experiment was conducted to compare the...Ch. 10 - Prob. 111SECh. 10 - Prob. 112SECh. 10 - 10-113. An article in the Journal of the...Ch. 10 - Prob. 114SECh. 10 - Prob. 115SECh. 10 - Prob. 116SECh. 10 - Prob. 117SECh. 10 - Prob. 118SECh. 10 - Prob. 119SECh. 10 - Prob. 120SECh. 10 - Prob. 121SECh. 10 - Prob. 122SECh. 10 - Prob. 123SECh. 10 - Prob. 124SE
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