Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 10, Problem 118SE
a.
To determine
Obtain an approximate
b.
To determine
Check whether the data support the claim that pesticide 3 is more effective than the other two or not.
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2 (VaR and ES) Suppose X1
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~
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~
Unif[-0.5, 0.5]
8 (Correlation and Diversification)
Assume we have two stocks, A and B, show that a particular combination
of the two stocks produce a risk-free portfolio when the correlation between
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9 (Portfolio allocation)
Suppose R₁ and R2 are returns of 2 assets and with expected return and
variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find
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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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- 7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forwardJoy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forward
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