Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
7th Edition
ISBN: 9781337681643
Author: David R. Anderson; Dennis J. Sweeney; Thomas A. Williams
Publisher: Cengage Learning US
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Textbook Question
Chapter 4.1, Problem 5E
Suppose an experiment has five equally likely outcomes:
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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 4 Solutions
Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
Ch. 4.1 - An experiment has three steps with three outcomes...Ch. 4.1 - How many ways can three items be selected from a...Ch. 4.1 - Prob. 3ECh. 4.1 - Consider the experiment of tossing a coin three...Ch. 4.1 - Suppose an experiment has five equally likely...Ch. 4.1 - An experiment with three outcomes has been...Ch. 4.1 - Prob. 7ECh. 4.1 - In the city of Milford, applications for zoning...Ch. 4.1 - Prob. 9ECh. 4.1 - The following table shows the percentage of...
Ch. 4.1 - A Gallup Poll of U.S. adults indicated that...Ch. 4.1 - The Powerball lottery is played twice each week in...Ch. 4.1 - A company that manufactures toothpaste is studying...Ch. 4.2 - Prob. 14ECh. 4.2 - Consider the experiment of selecting a playing...Ch. 4.2 - Consider the experiment of rolling a pair of dice....Ch. 4.2 - Refer to the KP&L sample points and sample point...Ch. 4.2 - Prob. 18ECh. 4.2 - Do you think global warming will have an impact on...Ch. 4.2 - Junior Achievement USA and the Allstate Foundation...Ch. 4.2 - Data on U S. work-related fatalities by cause...Ch. 4.3 - Prob. 22ECh. 4.3 - Suppose that we have a sample space...Ch. 4.3 - Clarkson University surveyed alumni to learn more...Ch. 4.3 - Prob. 25ECh. 4.3 - Information about mutual funds provided by...Ch. 4.3 - Prob. 27ECh. 4.3 - A survey of magazine subscribers showed that 45.8%...Ch. 4.3 - Prob. 29ECh. 4.4 - Suppose that we have two events, A and B, with...Ch. 4.4 - Prob. 31ECh. 4.4 - Consider the following example survey results of...Ch. 4.4 - Prob. 33ECh. 4.4 - The Bureau of Transportation Statistics reports...Ch. 4.4 - To better understand how husbands and wives feel...Ch. 4.4 - Prob. 36ECh. 4.4 - A joint survey by Parade magazine and Yahoo! found...Ch. 4.4 - The Institute for Higher Education Policy, a...Ch. 4.5 - The prior probabilities for events A1 and A2 are...Ch. 4.5 - Prob. 40ECh. 4.5 - A consulting firm submitted a bid for a large...Ch. 4.5 - A local bank reviewed its credit card policy with...Ch. 4.5 - In August 2012, tropical storm Isaac formed in the...Ch. 4.5 - ParFore created a website to market golf equipment...Ch. 4.5 - The percentage of adult users of the Internet who...Ch. 4 - A USA Today survey of adults aged 18 and older...Ch. 4 - A financial manager made two new investments—one...Ch. 4 - Below are the results of a survey of 1364...Ch. 4 - A study of 31,000 hospital admissions in New York...Ch. 4 - Prob. 50SECh. 4 - Prob. 51SECh. 4 - Prob. 52SECh. 4 - Refer again to the data from the MBA new...Ch. 4 - The Pew Internet & American Life project conducted...Ch. 4 - A large consumer goods company ran a television...Ch. 4 - Cooper Realty is a small real estate company...Ch. 4 - A company studied the number of lost-time...Ch. 4 - According to the Open Doors Report, 9.5% of all...Ch. 4 - An oil company purchased an option on land in...Ch. 4 - A study reported by Forbes indicated that the five...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Prob. 4.2.2CPCh. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Prob. 4.2.5CPCh. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Prob. 4.2.7CPCh. 4 - Prob. 4.2.8CPCh. 4 - Prob. 4.2.9CPCh. 4 - Rob's Market Rob's Market (RM) is a regional food...
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