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ISBN: 9780137643219
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Chapter R, Problem 3.36RE
To determine
Design an experiment to examine the best method to save vineyard from the birds.
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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…
-
+
++
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…
Question 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…
Chapter R Solutions
STATS:DATA+MODELS(LL)-W/ACCESS>CUSTOM<
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Ch. R - Prob. 1.11RECh. R - R1.12. e-Books A study by the Pew Internet &...Ch. R - Prob. 1.13RECh. R - R1.14. Accidents Progressive Insurance asked...Ch. R - Prob. 1.15RECh. R - R1.16. Hard water II The data set from England and...Ch. R - Prob. 1.17RECh. R - R1.18. Old Faithful It is a common belief that...Ch. R - R1.19. Old Faithful? Does the duration of an...Ch. R - R1.20. Teen drivers 2013 The National Highway...Ch. R - Prob. 1.21RECh. R - Women’s Short Track 2018 The times of skaters in...Ch. R - Prob. 1.23RECh. R - R1.24. Sluggers Babe Ruth was the first great...Ch. R - Prob. 1.25RECh. R - R1.26. Music and memory Is it a good idea to...Ch. R - Prob. 1.27RECh. R - R1.28. Birth order Is your birth order related to...Ch. R - Prob. 1.29RECh. R - R1.30. Birth order revisited Consider again the...Ch. R - Prob. 1.31RECh. R - R1.32. Engines, again Horsepower is another...Ch. R - R1.33. Age and party 2011 The Pew Research Center...Ch. R - R1.34. Pay According to the Bureau of Labor...Ch. 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R - Prob. 2.36RECh. R - Prob. 2.37RECh. R - Prob. 2.38RECh. R - Prob. 2.39RECh. R - Prob. 2.40RECh. R - Prob. 2.41RECh. R - Prob. 2.42RECh. R - Prob. 2.43RECh. R - Prob. 2.44RECh. R - Prob. 2.45RECh. R - Prob. 2.46RECh. R - Prob. 2.47RECh. R - Prob. 2.48RECh. R - Prob. 2.49RECh. R - Prob. 2.50RECh. R - Prob. 2.51RECh. R - Prob. 2.52RECh. R - Prob. 3.1RECh. R - Prob. 3.2RECh. R - Prob. 3.3RECh. R - Prob. 3.4RECh. R - Prob. 3.5RECh. R - Prob. 3.6RECh. R - Prob. 3.7RECh. R - Prob. 3.8RECh. R - Prob. 3.9RECh. R - R3.1–R3.18. What design? Analyze the design of...Ch. R - Prob. 3.11RECh. R - Prob. 3.12RECh. R - Prob. 3.13RECh. R - Prob. 3.14RECh. R - Prob. 3.15RECh. R - Prob. 3.16RECh. R - R3.1–R3.18. What design? Analyze the design of...Ch. R - R3.1–R3.18. What design? Analyze the design of...Ch. R - Prob. 3.19RECh. R - Prob. 3.20RECh. R - R3.21. Alternate day fasting A paper published in...Ch. R - Prob. 3.22RECh. R - Prob. 3.23RECh. R - R3.24. 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R - Prob. 6.15RECh. R - Prob. 6.17RECh. R - Prob. 6.18RECh. R - Prob. 6.19RECh. R - Prob. 6.20RECh. R - Prob. 6.21RECh. R - Prob. 6.23RECh. R - Prob. 6.25RECh. R - Prob. 6.28RECh. R - Prob. 6.29RECh. R - Prob. 6.30RECh. R - Prob. 6.31RECh. R - Prob. 6.32RECh. R - Prob. 6.33RECh. R - Prob. 6.34RECh. R - Prob. 6.35RECh. R - Prob. 6.36RECh. R - Prob. 6.37RECh. R - R5.38. Age and party 2016 The Pew Research Center...Ch. R - Prob. 6.39RECh. R - Prob. 6.40RECh. R - Prob. 6.41RECh. R - Prob. 6.42RECh. R - Prob. 6.43RECh. R - Prob. 6.44RECh. R - Prob. 6.45RECh. R - Prob. 6.46RECh. R - Prob. 6.47RECh. R - Prob. 6.48RECh. R - Prob. 6.49RECh. R - R5.50. Cramming Students in two basic Spanish...Ch. R - Prob. 6.51RECh. R - Prob. 6.52RECh. R - Prob. 7.3RECh. R - Prob. 7.4RECh. R - Prob. 7.5RECh. R - Prob. 7.6RECh. R - Prob. 7.7RECh. R - Prob. 7.8RECh. R - Prob. 7.9RECh. R - Prob. 7.10RECh. R - Prob. 7.11RECh. R - Nuclear plants Here are data on 32 light water...Ch. R - Prob. 7.13RECh. 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