Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 10, Problem 10.54ACI
a.
To determine
To test: Whether the quality of the filters being produced may be related to the shift producing the filter at
b.
To determine
To estimate: The proportion of defective filters produced by the first shift using a 95% confidence interval.
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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
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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 10 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 10.2 - Find the rejection region for a one-dimensional 2...Ch. 10.2 - What are the characteristics of a multinomial...Ch. 10.2 - What conditions must n satisfy to make the 2 test...Ch. 10.2 - A multinomial experiment with k = 3 cells and n =...Ch. 10.2 - Prob. 10.5LMCh. 10.2 - Cable TV subscriptions and cord cutters. Refer to...Ch. 10.2 - Do social robots walk or roll? Refer to the...Ch. 10.2 - Rankings of MBA programs. Business Ethics (Fall...Ch. 10.2 - Museum management. Refer to the Museum Management...Ch. 10.2 - Offshoring companies. Offshoring is a term that...
Ch. 10.2 - Prob. 10.11ACICh. 10.2 - Prob. 10.12ACICh. 10.2 - Mobile device typing strategies. Text messaging on...Ch. 10.2 - Prob. 10.14ACICh. 10.2 - Coupon user study. A hot topic in marketing...Ch. 10.2 - Cell phone user survey. If you subscribe to a cell...Ch. 10.2 - Overloading in the trucking industry. Although...Ch. 10.2 - Political representation of religious groups. Do...Ch. 10.3 - Find the rejection region for a test of...Ch. 10.3 - Consider the 2 3 (i e., r = 2 and = 3)...Ch. 10.3 - Refer to Exercise 10.20. a. Convert the frequency...Ch. 10.3 - Test the null hypothesis of independence of the...Ch. 10.3 - Refer to Exercise 10.22. a. Convert the responses...Ch. 10.3 - Safety of hybrid cars. According to the Highway...Ch. 10.3 - Purchasing souvenirs. A major tourist activity is...Ch. 10.3 - Prob. 10.26ACBCh. 10.3 - Are travel professionals equitably paid? Business...Ch. 10.3 - Eyewitnesses and mugshots. Refer to the Applied...Ch. 10.3 - Package design influences taste. Can the package...Ch. 10.3 - Job satisfaction of women in construction. The...Ch. 10.3 - Offshoring companies. Refer to The Journal of...Ch. 10.3 - Prob. 10.32ACICh. 10.3 - Prob. 10.33ACICh. 10.3 - Prob. 10.34ACICh. 10.3 - Prob. 10.35ACICh. 10.3 - Prob. 10.36ACICh. 10.3 - Prob. 10.37ACICh. 10.3 - Coupon user study. Refer to the study of a...Ch. 10.3 - Examining the Monty Hall Dilemma. In Exercise...Ch. 10 - A random sample of 250 observations was classified...Ch. 10 - Prob. 10.41LMCh. 10 - Made in the USA survey. Refer to the Journal of...Ch. 10 - Prob. 10.43ACBCh. 10 - Survey on giving and volunteering (continued)....Ch. 10 - Stereotyping in deceptive and authentic news...Ch. 10 - Prob. 10.46ACBCh. 10 - Prob. 10.47ACICh. 10 - Pig farm study. An article in Sociological Methods...Ch. 10 - Management system failures. Refer to the Process...Ch. 10 - History of corporate acquisitions. Refer to the...Ch. 10 - Creating menus to influence others. Refer to the...Ch. 10 - Prob. 10.52ACICh. 10 - Prob. 10.53ACICh. 10 - Prob. 10.54ACICh. 10 - Flight lesponse of geese to helicopter traffic....Ch. 10 - Prob. 10.56ACACh. 10 - Goodness-of-fit test. A statistics analysis is to...Ch. 10 - Prob. 10.58CTCCh. 10 - A television station has hired an independent...Ch. 10 - Suppose the television station believes that a...Ch. 10 - Generalize the situations in Exercises 1 and 2 to...Ch. 10 - In this Activity, you will revisit Activity 3.1,...Ch. 10 - Prob. 10.2.2ACh. 10 - Perform a x2 test for independence for the example...
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