Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 14, Problem 82SE
To determine
Construct a
Analyze the data and compare the conclusions to those obtained for full factor.
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Chapter 14 Solutions
Applied Statistics and Probability for Engineers
Ch. 14.3 - 14-1. An article in Industrial Quality Control...Ch. 14.3 - Prob. 2ECh. 14.3 - Prob. 3ECh. 14.3 - 14-4. An experiment was conducted to determine...Ch. 14.3 - Prob. 5ECh. 14.3 - 14-6. Johnson and Leone (Statistics and...Ch. 14.3 - 14-7. An article in the IEEE Transactions on...Ch. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10E
Ch. 14.3 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.5 - Prob. 14ECh. 14.5 - 14-15. Four factors are thought to influence the...Ch. 14.5 - Prob. 16ECh. 14.5 - Prob. 17ECh. 14.5 - Prob. 18ECh. 14.5 - 14-19. An experiment was run in a semiconductor...Ch. 14.5 - Prob. 20ECh. 14.5 - Prob. 21ECh. 14.5 - 14-22. A 24 factorial design was run in a chemical...Ch. 14.5 - Prob. 23ECh. 14.5 - Prob. 24ECh. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.5 - Prob. 28ECh. 14.5 - Prob. 29ECh. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - Prob. 32ECh. 14.5 - 14-33. An article in Analytica Chimica Acta...Ch. 14.5 - Prob. 34ECh. 14.5 - 14-35. The book Using Designed Experiments to...Ch. 14.6 - 14-36. Consider the data from the first replicate...Ch. 14.6 - Prob. 37ECh. 14.6 - Prob. 38ECh. 14.6 - Prob. 39ECh. 14.6 - 14-40. Consider the data from the first replicate...Ch. 14.6 - Prob. 41ECh. 14.6 - 14-43. An article in Quality Engineering...Ch. 14.6 - Prob. 44ECh. 14.6 - Prob. 45ECh. 14.6 - 14-46. An article in Advanced Semiconductor...Ch. 14.6 - Prob. 47ECh. 14.6 - Prob. 48ECh. 14.7 - Prob. 49ECh. 14.7 - Prob. 50ECh. 14.7 - Prob. 51ECh. 14.7 - Prob. 52ECh. 14.7 - 14-54. An article in Quality Engineering [“A...Ch. 14.7 - Prob. 56ECh. 14.7 - Prob. 57ECh. 14.7 - Prob. 58ECh. 14.7 - 14-59. An article in the Journal of...Ch. 14.7 - Prob. 60ECh. 14.7 - Prob. 61ECh. 14.7 - Prob. 62ECh. 14.8 - Prob. 63ECh. 14.8 - 14-64. An article in Quality Engineering [“Mean...Ch. 14.8 - 14-65. Consider the first-order model
where −1 <...Ch. 14.8 - 14-66. A manufacturer of cutting tools has...Ch. 14.8 - Prob. 67ECh. 14.8 - 14-68. In their book Empirical Model Building and...Ch. 14.8 - 14-69. Consider the first-order model
y = 12...Ch. 14.8 - Prob. 73ECh. 14.8 - Prob. 74ECh. 14 - Prob. 75SECh. 14 - Prob. 76SECh. 14 - Prob. 77SECh. 14 - Prob. 78SECh. 14 - Prob. 79SECh. 14 - Prob. 80SECh. 14 - Prob. 81SECh. 14 - Prob. 82SECh. 14 - Prob. 83SECh. 14 - 14-84. Construct a design in 16 runs. What are...Ch. 14 - Prob. 85SECh. 14 - Prob. 87SECh. 14 - Prob. 88SECh. 14 - Prob. 89SECh. 14 - 14-90. An article in Biotechnology Progress (2001,...Ch. 14 - 14-93. The rework time required for a machine was...Ch. 14 - Prob. 94SECh. 14 - Prob. 95SECh. 14 - Prob. 97SECh. 14 - Prob. 98SECh. 14 - Prob. 99SECh. 14 - 14-101. Consider an unreplicated 2k factorial, and...Ch. 14 - Prob. 102SECh. 14 - Prob. 103SECh. 14 - Prob. 104SECh. 14 - Prob. 105SECh. 14 - Prob. 106SECh. 14 - Prob. 107SECh. 14 - 14-108. Set up a 27 − 4 design using D = AB, E =...Ch. 14 - Prob. 109SE
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- 28. (a) Under what conditions do we say that two random variables X and Y are independent? (b) Demonstrate that if X and Y are independent, then it follows that E(XY) = E(X)E(Y); (e) Show by a counter example that the converse of (ii) is not necessarily true.arrow_forward1. Let X and Y be random variables and suppose that A = F. Prove that Z XI(A)+YI(A) is a random variable.arrow_forward30. (a) What is meant by the term "product measur"? ANDarrow_forward
- (c) Describe the positive and negative parts of a random variable. How is the integral defined for a general random variable using these components?arrow_forward26. (a) Provide an example where X, X but E(X,) does not converge to E(X).arrow_forward(b) Demonstrate that if X and Y are independent, then it follows that E(XY) E(X)E(Y);arrow_forward
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