Basic Business Statistics
14th Edition
ISBN: 9780134684840
Author: BERENSON, Mark L., Levine, David M., Szabat, Kathryn A.
Publisher: Pearson,
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Textbook Question
Chapter 5, Problem 16PS
In Example 5.4 on page 209, you and two friends decided to go to Wendy’s. Now, suppose that instead you go to Burger Kind, which recently filled approximately
a. all three orders will be filled correctly?
b. none of the three will be filled correctly?
c. at least two of the three will be filled correctly?
d. What are the
e. Compare the result of
Expert Solution & Answer
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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
I+I+I+I+Oooo
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 5 Solutions
Basic Business Statistics
Ch. 5 - Given the following probability distributions. a....Ch. 5 - The following table contains the probability...Ch. 5 - Recently , a regional automobile dealership sent...Ch. 5 - In the carnival game Under-or -Over-Seven, a pair...Ch. 5 - The number of arrivals per minute at a bank...Ch. 5 - The manager of the commercial mortgage department...Ch. 5 - You are trying to develop a strategy for investing...Ch. 5 - You plan to invest $1,000 in a corporate bond fund...Ch. 5 - Determine the following:...Ch. 5 - Determine the mean and standard deviation of the...
Ch. 5 - The increase or decrease in the price of a stock...Ch. 5 - According to the Pew Research Center, 51 of...Ch. 5 - A student is taking a multiple-choice exam in...Ch. 5 - A manufacturing company regularly conducts quality...Ch. 5 - Past records indicates that the probability of...Ch. 5 - In Example 5.4 on page 209, you and two friends...Ch. 5 - In Example 5.4 on page 209, you and two friends...Ch. 5 - Assume a Poisson distribution....Ch. 5 - Assume a Poisson distribution....Ch. 5 - Assume a Poisson distribution with =5.0. What is...Ch. 5 - Assume that the number of airline customer service...Ch. 5 - The quality control manager of Marilyn’s Cookies...Ch. 5 - Refer to Problem 5.22. How many cookies in a batch...Ch. 5 - Prob. 24PSCh. 5 - The U.S Department of Transportation maintains...Ch. 5 - The Consumer Financial Protection Bureau’s...Ch. 5 - J.D. Power and Associates calculates and publishes...Ch. 5 - Refer to Problem 5.27. if you purchased a Toyota...Ch. 5 - A toll-free phone number is available from 9 A.M....Ch. 5 - Prob. 30PSCh. 5 - What are the four properties that must be present...Ch. 5 - Prob. 32PSCh. 5 - Darwin Head, a 35-year-old sawmill worker, won 1...Ch. 5 - Between 1896-when the Dow Jones index was...Ch. 5 - Smartphone adoption among American younger adults...Ch. 5 - One theory concerning the Dow jones industrial...Ch. 5 - Prob. 37PSCh. 5 - Prob. 38PSCh. 5 - Social log-ins involve recommending of sharing an...Ch. 5 - The Consumer Financial Protection Bureau’s...Ch. 5 - Refer to Problem 5.40. In the same time period,...Ch. 5 - One theory concerning the...Ch. 5 - Spurious correlation refers to the apparent...Ch. 5 - The United Auto Courts Reports blog notes that are...
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