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Elementary Statistics with MyStatLab Access Code [With CDROM]
12th Edition
ISBN: 9780321890238
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 2.4, Problem 10BSC
Time-Series Graphs. In Exercises 9 and 10, construct the time-series graph.
10. Home Runs Listed below are the numbers of home runs in major league baseball for each year beginning with 1990 (listed in order by row). Is there a trend?
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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 2 Solutions
Elementary Statistics with MyStatLab Access Code [With CDROM]
Ch. 2.2 - Frequency Distribution Table 2-2 on page 45 is a...Ch. 2.2 - Relative Frequency Distribution After construction...Ch. 2.2 - Do You Believe? In a Harris Interactive survey,...Ch. 2.2 - Analyzing a Frequency Distribution The...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...
Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Relative Frequencies for Comparisons. In Exercises...Ch. 2.2 - Relative Frequencies for Comparisons. In Exercises...Ch. 2.2 - Cumulative Frequency Distributions. In Exercises...Ch. 2.2 - Cumulative Frequency Distributions. In Exercises...Ch. 2.2 - Analysis of Last Digits Heights of statistics...Ch. 2.2 - Analysis of Last Digits Weights of respondents...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Interpreting Effects of Outliers Refer to Data Set...Ch. 2.2 - Number of Classes According to what is known as...Ch. 2.3 - Prob. 1BSCCh. 2.3 - Voluntary Response Sample The histogram in Figure...Ch. 2.3 - Small Data NASA provides these duration times (in...Ch. 2.3 - Normal Distribution When it refers to a normal...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Analysis of Last Digits Use the frequency...Ch. 2.3 - Analysis of Last Digits Use the frequency...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Prob. 15BSCCh. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Back-to-Back Relative Frequency Histograms When...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.4 - Bar Chart and Pareto Chart A bar chart and a...Ch. 2.4 - Scatterplot What is a scatterplot? What type of...Ch. 2.4 - SAT Scores Listed below are SAT scores from a...Ch. 2.4 - SAT Scores Given that the data in Exercise 3 were...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Time-Series Graphs. In Exercises 9 and 10,...Ch. 2.4 - Time-Series Graphs. In Exercises 9 and 10,...Ch. 2.4 - Dotplots. In Exercises II and 12, construct the...Ch. 2.4 - Dotplots. In Exercises 11 and 12, construct the...Ch. 2.4 - Stemplots. In Exercises 13 and 14, construct the...Ch. 2.4 - Stemplots. In Exercises 13 and 14, construct the...Ch. 2.4 - Pareto Charts. In Exercises 15 and 16, construct...Ch. 2.4 - Pareto Charts. In Exercises 15 and 16, construct...Ch. 2.4 - Pie Charts. In Exercises 17 and 18, construct the...Ch. 2.4 - Pie Charts. In Exercises 17 and 18, construct the...Ch. 2.4 - Frequency Polygon. In Exercises 19 and 20,...Ch. 2.4 - Frequency Polygon. In Exercises 19 and 20,...Ch. 2.4 - Deceptive Graphs. In Exercises 21-24, identify the...Ch. 2.4 - Deceptive Graphs. In Exercises 21-24, identify the...Ch. 2.4 - Deceptive Graphs. In Exercises 21-24, identify the...Ch. 2.4 - Deceptive Graphs. In Exercises 21-24, identify the...Ch. 2.4 - Back-to-Back Stemplots Exercise 19 in Section 2-3...Ch. 2 - When one is constructing a table representing the...Ch. 2 - When one is constructing a table representing the...Ch. 2 - When one is constructing a table representing the...Ch. 2 - A stemplot is created from the intervals (min)...Ch. 2 - In the California Daily 4 lottery, four digits...Ch. 2 - In an investigation of the travel costs of college...Ch. 2 - In an investigation of the relationship between...Ch. 2 - As a quality control manager at Sony, you find...Ch. 2 - What characteristic of a data set can be better...Ch. 2 - A histogram is to be constructed from the brain...Ch. 2 - Frequency Distribution of Brain Volumes Construct...Ch. 2 - Histogram of Brain Volumes Construct the histogram...Ch. 2 - Dotplot of California Lottery In the California...Ch. 2 - Stemplot of IQ Scores Listed below are the first...Ch. 2 - CO Emissions Listed below are the amounts (million...Ch. 2 - CO and NO Emissions Exercise 5 lists the amounts...Ch. 2 - Sports Equipment According to USA Today, the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - Grooming Time Listed below are times (minutes)...Ch. 2 - Histogram of Grooming Times Use the frequency...Ch. 2 - Stemplot of Grooming Times Use the data from...Ch. 2 - Technology Project It was noted in this section...Ch. 2 - Flight Planning Data Set 15 in Appendix B includes...Ch. 2 - Prob. 2FDDCh. 2 - Flight Planning Data Set 15 in Appendix B includes...
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