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 2.3, Problem 28E
The following observations are for two quantitative variables, x and y
a. Develop a crosstabulation for the data, with x as the variable and y as the column variable. For x use classes of 10-29, 30-49, and so on; for y use classes of 40-59, 60-79, and so on.
b. Compute the row percentages.
c. Compute the column percentages.
d. What is the relationship, if any, between x and y?
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+
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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…
A 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data
from this experiment are shown in Table 4.
Table 4: Resistivity Experiment for Exercise 5
Run
A
B
с
D
Resistivity
1
23
2
3
4
5
6
7
8
9
10
11
12
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0
0
||++TI++o000
33.2
4.6
31.2
9.6
40.6
162.4
39.4
158.6
63.4
62.6
58.7
0
0
60.9
3
(a) Estimate the factor effects. Plot the effect estimates on a normal probability scale.
(b) Identify a tentative model for this process. Fit the model and test for curvature.
(c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on
this plot of model inadequacy?
(d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the
normality assumption?
Chapter 2 Solutions
Essentials of Modern Business Statistics with Microsoft Office Excel (Book Only)
Ch. 2.1 - The response to a question has three alternatives:...Ch. 2.1 - A partial relative frequency distribution is...Ch. 2.1 - A questionnaire provides 58 Yes, 42 No, and 20...Ch. 2.1 - Prob. 4ECh. 2.1 - In alphabetical order, the six most common last...Ch. 2.1 - Nielsen Media Research provided the list of the 25...Ch. 2.1 - The Canmark Research Center Airport Customer...Ch. 2.1 - Prob. 8ECh. 2.1 - Nearly 1.8 million bachelor's degrees and over...Ch. 2.1 - VirtualTourist provides ratings for hotels...
Ch. 2.2 - Consider the following data. a. Develop a...Ch. 2.2 - Consider the following frequency distribution...Ch. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Construct a stem-and-leaf display for the...Ch. 2.2 - A doctor's office staff studied the waiting times...Ch. 2.2 - CBSSports.com developed the Total Player Ratings...Ch. 2.2 - Based on the tons handled in a year, the ports...Ch. 2.2 - The London School of Economics and the Harvard...Ch. 2.2 - Quantcast.com provides the number of people from...Ch. 2.2 - Entrepreneur magazine ranks franchises using...Ch. 2.2 - The following data show the year-to-date percent...Ch. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - The Flying Pig Half-Marathon (13.1 miles) had...Ch. 2.3 - The following data are for 30 observations...Ch. 2.3 - The following observations are for two...Ch. 2.3 - The Daytona 500 is a 500-mile automobile race held...Ch. 2.3 - The following crosstabulation shows the average...Ch. 2.3 - Prob. 31ECh. 2.3 - The following crosstabulation shows the number of...Ch. 2.4 - Prob. 36ECh. 2.4 - Consider the following data on two categorical...Ch. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.4 - The Northwest regional manager of an outdoor...Ch. 2 - Approximately 1.5 million high school students...Ch. 2 - Data showing the population by state in millions...Ch. 2 - A startup company's ability to gain funding is a...Ch. 2 - Prob. 49SECh. 2 - Prob. 50SECh. 2 - Western University has only one women's softball...Ch. 2 - Prob. 53SECh. 2 - Prob. 57SECh. 2 - A zoo has categorized its visitors into three...Ch. 2 - Pelican Stores, a division of National Clothing,...Ch. 2 - Prob. 2.1.2CPCh. 2 - Pelican Stores, a division of National Clothing,...Ch. 2 - Pelican Stores, a division of National Clothing,...Ch. 2 - Case Problem 2Motion Picture Industry The motion...Ch. 2 - Prob. 2.2.2CPCh. 2 - Case Problem 2 Motion Picture Industry The motion...Ch. 2 - Case Problem 2 Motion Picture Industry The motion...Ch. 2 - Case Problem 3Queen City Cincinnati, Ohio, also...Ch. 2 - Case Problem 3Queen City Cincinnati, Ohio, also...Ch. 2 - Case Problem 3Queen City Cincinnati, Ohio, also...Ch. 2 - Case Problem 4Cut-Rate Machining, Inc. Jon...Ch. 2 - Case Problem 4Cut-Rate Machining, Inc. Jon...Ch. 2 - Case Problem 4Cut-Rate Machining, Inc. Jon...
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