Loose Leaf for Statistical Techniques in Business and Economics (Mcgraw-hill/Irwin Series in Operations and Decision Sciences)
16th Edition
ISBN: 9780077639709
Author: Douglas A. Lind, William G Marchal, Samuel A. Wathen
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 7, Problem 15E
A recent study of the hourly wages of maintenance crew members for major airlines showed that the
- a. Between $20.50 and $24.00 per hour?
- b. More than $24.00 per hour?
- c. Less than $19.00 per hour?
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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
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30
100
8
15.12
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17.48
0.41
150
7.54
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150
8
6.66
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30
150
8
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8
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10.95
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100
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15.96
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-
+
++
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 7 Solutions
Loose Leaf for Statistical Techniques in Business and Economics (Mcgraw-hill/Irwin Series in Operations and Decision Sciences)
Ch. 7 - Microwave ovens only last so long. The life-time...Ch. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 4ECh. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Prob. 2SRCh. 7 - The distribution of the annual incomes of a group...Ch. 7 - Explain what is meant by this statement: There is...
Ch. 7 - List the major characteristics of a normal...Ch. 7 - The mean of a normal probability distribution is...Ch. 7 - The mean of a normal probability distribution is...Ch. 7 - The Kamp family has twins, Rob and Rachel. Both...Ch. 7 - Prob. 12ECh. 7 - The temperature of coffee sold at the Coffee Bean...Ch. 7 - A normal population has a mean of 20.0 and a...Ch. 7 - A normal population has a mean of 12.2 and a...Ch. 7 - A recent study of the hourly wages of maintenance...Ch. 7 - The mean of a normal probability distribution is...Ch. 7 - Prob. 5SRCh. 7 - Prob. 17ECh. 7 - A normal population has a mean of 80.0 and a...Ch. 7 - According to the Internal Revenue Service, the...Ch. 7 - Prob. 20ECh. 7 - WNAE, an all-news AM station, finds that the...Ch. 7 - Prob. 22ECh. 7 - Prob. 6SRCh. 7 - A normal distribution has a mean of 50 and a...Ch. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Prob. 28ECh. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 7SRCh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - Prob. 36ECh. 7 - Prob. 8SRCh. 7 - Prob. 37ECh. 7 - The lifetime of LCD TV sets follows an exponential...Ch. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - Prob. 41CECh. 7 - Prob. 42CECh. 7 - Prob. 43CECh. 7 - Prob. 44CECh. 7 - Prob. 45CECh. 7 - Prob. 46CECh. 7 - Prob. 47CECh. 7 - Prob. 48CECh. 7 - Shaver Manufacturing Inc. offers dental insurance...Ch. 7 - The annual commissions earned by sales...Ch. 7 - Prob. 51CECh. 7 - Prob. 52CECh. 7 - Management at Gordon Electronics is considering...Ch. 7 - Fast Service Truck Lines uses the Ford Super Duty...Ch. 7 - Prob. 55CECh. 7 - Prob. 56CECh. 7 - Prob. 57CECh. 7 - Prob. 58CECh. 7 - Prob. 59CECh. 7 - Prob. 60CECh. 7 - Prob. 61CECh. 7 - Prob. 62CECh. 7 - The weights of canned hams processed at Henline...Ch. 7 - Prob. 64CECh. 7 - Prob. 65CECh. 7 - The price of shares of Bank of Florida at the end...Ch. 7 - Prob. 67CECh. 7 - Prob. 68CECh. 7 - Prob. 69CECh. 7 - Prob. 70CECh. 7 - Prob. 71CECh. 7 - Prob. 72CECh. 7 - Prob. 73CECh. 7 - Prob. 74DECh. 7 - Prob. 75DECh. 7 - Prob. 76DECh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 1.1PTCh. 7 - Prob. 1.2PTCh. 7 - Prob. 1.3PTCh. 7 - Prob. 1.4PTCh. 7 - Prob. 1.5PTCh. 7 - Prob. 1.6PTCh. 7 - Which of the following is NOT a requirement of the...Ch. 7 - Prob. 1.8PTCh. 7 - How many standard normal distributions are there?...Ch. 7 - Prob. 1.10PTCh. 7 - Prob. 1.11PTCh. 7 - Prob. 1.12PTCh. 7 - Prob. 1.13PTCh. 7 - Prob. 1.14PTCh. 7 - Prob. 1.15PTCh. 7 - Prob. 2.1PTCh. 7 - Prob. 2.2PTCh. 7 - Prob. 2.3PTCh. 7 - Prob. 2.4PTCh. 7 - Prob. 2.5PTCh. 7 - Prob. 2.6PTCh. 7 - Prob. 2.7PT
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