Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118802250
Author: Montgomery
Publisher: WILEY
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Chapter 14.6, Problem 47E
a.
To determine
Estimate the factor effects by assuming that the operator is a nuisance factor.
b.
To determine
Identify a model for the data from this experiment based on the normal probability plot of the effect estimates.
c.
To determine
Conduct an ANOVA based on the model identified in part (a) and writes the conclusions.
d.
To determine
Analyze the residual and plot residual versus the predicted production.
e.
To determine
Compare the results from this analysis to the previous analysis that did not use blocking.
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Required:
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Note: Do not round your intermediate calculations. Round your answers to 1 decimal place.
b-1. What is the mean time to resolve the problem?
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Exercise 6-6 (Algo) (LO6-3)
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.
Admissions
Probability
1,100
0.5
1,400
0.4
1,300
0.1
Click here for the Excel Data File
Required:
What is the expected number of admissions for the fall semester?
Compute the variance and the standard deviation of the number of admissions.
Note: Round your standard deviation to 2 decimal places.
1. Find the mean of the x-values (x-bar)
and the mean of the y-values (y-bar) and write/label each here:
2. Label the second row in the table using proper notation; then, complete the table. In the fifth and sixth
columns, show the 'products' of what you're multiplying, as well as the answers.
X
y
x minus x-bar y minus y-bar (x minus x-bar)(y minus y-bar)
(x minus x-bar)^2
xy
16
20
34
4-2
5 2
3. Write the sums that represents Sxx and Sxy in the table, at the bottom of their respective columns.
4. Find the slope of the Regression line: bi
=
(simplify your answer)
5. Find the y-intercept of the Regression line, and then write the equation of the Regression line.
Show your work. Then, BOX your final answer. Express your line as "y-hat equals...
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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