Pearson eText Business Statistics: First Course -- Instant Access (Pearson+)
8th Edition
ISBN: 9780136880974
Author: David Levine, David Stephan
Publisher: PEARSON+
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Chapter 3, Problem 3.14AC
a.
To determine
To find: The
b.
To determine
To find: The
c.
To determine
To explain: The conclusions about the paid room price based on the answers to the parts (a) and (b).
d.
To determine
To find: The mean, median, mode, range, variance, and standard deviation.
To explain: The conclusions about the paid room price based on the findings.
To compare: The results of both datasets.
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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 3 Solutions
Pearson eText Business Statistics: First Course -- Instant Access (Pearson+)
Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - The set of data is from a sample of n = 7: 12 7 4...Ch. 3 - The following set of data is from a sample of n =...Ch. 3 - Wired, a magazine that delivers a glimpse into the...Ch. 3 - The operations manager of a plant that...Ch. 3 - According to the U.S. Census Bureau (census.gov),...Ch. 3 - The file MOBILESPEEO contains the overall download...Ch. 3 - The file AIRPORTRATING contains the of large and...Ch. 3 - The annual NFL Super Bowl is the most widely...
Ch. 3 - The ACCOUNTINGPARTNERS contains the number of...Ch. 3 - The file MOBILECOMMERCE contains the following...Ch. 3 - Is there a difference in the variation of the...Ch. 3 - Prob. 3.14ACCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Prob. 3.16ACCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 3.18ACCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 3.21LBCh. 3 - The following is a set of data from a sample of n...Ch. 3 - Prob. 3.23LBCh. 3 - Prob. 3.24LBCh. 3 - The file ACCOUNTINGPARTNERS contains the number of...Ch. 3 - Prob. 3.26ACCh. 3 - The file HOTELAWAY contains the average room price...Ch. 3 - Prob. 3.29ACCh. 3 - Prob. 3.30ACCh. 3 - Prob. 3.31LBCh. 3 - The following is a set of data for a population...Ch. 3 - Consider a population of 1.024 mutual funds that...Ch. 3 - The file CIGARETTETAX contains the state cigarette...Ch. 3 - Prob. 3.36ACCh. 3 - The following is a set of data from a sample of n...Ch. 3 - The file CEREALS lists the calories and sugar, in...Ch. 3 - Movie companies need to predict the gross receipts...Ch. 3 - The file MOBILESPEED contains the overall download...Ch. 3 - A Pew Research Center survey found a noticeable...Ch. 3 - Prob. 3.44CYUCh. 3 - Prob. 3.45CYUCh. 3 - What are the differences among the mean, median,...Ch. 3 - Prob. 3.47CYUCh. 3 - Prob. 3.48CYUCh. 3 - Prob. 3.49CYUCh. 3 - Prob. 3.50CYUCh. 3 - Prob. 3.51CYUCh. 3 - Prob. 3.52CYUCh. 3 - Prob. 3.53CYUCh. 3 - Prob. 3.54CYUCh. 3 - Prob. 3.55CYUCh. 3 - How do the covariance and the coefficient of...Ch. 3 - The download and upload speeds of a mobile data...Ch. 3 - An insurance company has the business objective of...Ch. 3 - Prob. 3.59CRPCh. 3 - Prob. 3.60CRPCh. 3 - Prob. 3.61CRPCh. 3 - Prob. 3.62CRPCh. 3 - Prob. 3.63CRPCh. 3 - Prob. 3.64CRPCh. 3 - Prob. 3.65CRPCh. 3 - Prob. 3.66CRPCh. 3 - What was the mean price of a room at two-star,...Ch. 3 - The file PROPERTY TAXES contains the property...Ch. 3 - Prob. 3.69CRPCh. 3 - 311 is Chicagos web and phone portal for...Ch. 3 - How much do commuters living in or near cities...Ch. 3 - How do the mean credit scores of people living in...Ch. 3 - Prob. 3.74RWE
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