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 3.3, Problem 42E
Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the
a.What is the z-score for a backyard structure costing $2300?
b.What is the z-score for a backyard structure costing $4900?
c.Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
d.If the cost for a backyard shed-office combination built in Albany, California is $13,000, should this structure be considered an outlier? Explain.
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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
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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 3 Solutions
Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
Ch. 3.1 - Consider a sample with data values of 10, 20, 12,...Ch. 3.1 - Consider a sample with data values of 10, 20, 21,...Ch. 3.1 - Consider the following data and corresponding...Ch. 3.1 - Consider the following data. What is the mean...Ch. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - The average number of minutes Americans commute to...Ch. 3.1 - The WWI Street Journal reported that the median...Ch. 3.1 - Which companies spend the most money on...Ch. 3.1 - Prob. 10E
Ch. 3.1 - According to the National Education Association...Ch. 3.1 - The Big Bang Theory, a situation comedy featuring...Ch. 3.1 - In automobile mileage and gasoline-consumption...Ch. 3.1 - Prob. 14ECh. 3.1 - Martinez Auto Supplies has retail stores located...Ch. 3.1 - The grade point average for college students is...Ch. 3.1 - The following table shows the total return and the...Ch. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - If an asset declines in value from $5000 to $3500...Ch. 3.1 - The current value of a company is $25 million. If...Ch. 3.2 - Consider a sample with data values of 10, 20, 12,...Ch. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Data collected by the Oil Price Information...Ch. 3.2 - The results of a search to find the least...Ch. 3.2 - The Australian Open is the first of the four Grand...Ch. 3.2 - Prob. 29ECh. 3.2 - The following data were used to construct the...Ch. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Scores turned in by an amateur golfer at the...Ch. 3.2 - The following times were recorded by the...Ch. 3.3 - Consider a sample with data values of 10, 20, 12,...Ch. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - The results of a national survey showed that on...Ch. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Many families in California are using backyard...Ch. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - The Wall Street Journal reported that Walmart...Ch. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Naples, Florida hosts a half-marathon (13.1 -mile...Ch. 3.4 - Annual sales, in millions of dollars, for 21...Ch. 3.4 - Consumer Reports provided overall customer...Ch. 3.4 - Fortune magazine's list of the world's most...Ch. 3.4 - Prob. 54ECh. 3.5 - Five observations taken for two variables follow...Ch. 3.5 - Five observations taken for two variables follow...Ch. 3.5 - Prob. 57ECh. 3.5 - A department of transportation's study on driving...Ch. 3.5 - Over the past 40 years, the percentage of homes in...Ch. 3.5 - Prob. 60ECh. 3.5 - A random sample of 30 colleges from Kiplinger's...Ch. 3 - The average number of times Americans dine out in...Ch. 3 - Prob. 63SECh. 3 - The average waiting time for a patient at an El...Ch. 3 - U.S. companies lose $63.2 billion per year from...Ch. 3 - Prob. 66SECh. 3 - Public transportation and the automobile are two...Ch. 3 - In 2007 the New York Times reported that the...Ch. 3 - Prob. 69SECh. 3 - Travel + Leisure magazine presented its annual...Ch. 3 - The 32 teams in the National Football League (NFL)...Ch. 3 - Does a major league baseball team's record during...Ch. 3 - The days to maturity for a sample of five money...Ch. 3 - Automobiles traveling on a road with a posted...Ch. 3 - The Panama Railroad Company was established in...Ch. 3 - Case Problem 1 Pelican Stores Pelican S to res, a...Ch. 3 - Case Problem 1 Pelican Stores Pelican S to res, a...Ch. 3 - Problem 2Motion Picture Industry The motion...Ch. 3 - Case Problem 2 Motion Picture Industry The motion...Ch. 3 - Case Problem 2 Motion Picture Industry The motion...Ch. 3 - Case Problem 3 Business Schools of Asia-Pacific...Ch. 3 - Case Problem 3 Business Schools of Asia-Pacific...Ch. 3 - Case Problem 3 Business Schools of Asia-Pacific...Ch. 3 - Case Problem 3 Business Schools of Asia-Pacific...Ch. 3 - Case Problem 5 African Elephant Populations...Ch. 3 - Case Problem 5 African Elephant Populations...Ch. 3 - Case Problem 5 African Elephant Populations...
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