ELEMTARY STATISTICS W/STATLAB(LL)
13th Edition
ISBN: 9781323774731
Author: Triola
Publisher: PEARSON
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Textbook Question
Chapter 2.1, Problem 21BSC
Cumulative Frequency Distributions. In Exercises 21 and 22, construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated.
21. Exercise 5 (Age of Best Actress When Oscar Was Won)
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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
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Density
Surface Area
100
8
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15.18
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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…
Chapter 2 Solutions
ELEMTARY STATISTICS W/STATLAB(LL)
Ch. 2.1 - McDonalds Dinner Service Times Refer 10 the...Ch. 2.1 - McDonalds Dinner Service Times Refer to the...Ch. 2.1 - Relative Frequency Distribution Use percentages to...Ch. 2.1 - Whats Wrong? Heights of adult males are known to...Ch. 2.1 - In Exercise 58, identify the class width, class...Ch. 2.1 - In Exercises 58, identify the class width, class...Ch. 2.1 - In Exercises 58, identify the class width, class...Ch. 2.1 - In Exercises 58, identify the class width, class...Ch. 2.1 - Normal Distributions. In Exercises 9 and 10, using...Ch. 2.1 - Normal Distributions. In Exercises 9 and 10, using...
Ch. 2.1 - Constructing Frequency Distributions. In Exercises...Ch. 2.1 - Constructing Frequency Distributions. In Exercises...Ch. 2.1 - Constructing Frequency Distributions. In Exercises...Ch. 2.1 - Burger King Dinner Service Times Refer to Data Set...Ch. 2.1 - Wendys Lunch Service Times Refer to Data Set 25...Ch. 2.1 - Wendys Dinner Service Times Refer to Data Set 25...Ch. 2.1 - Analysis of Last Digits Heights of statistics...Ch. 2.1 - Analysis of Last Digits Weights of respondents...Ch. 2.1 - Oscar Winners Construct one table (similar to...Ch. 2.1 - Blood Platelet Counts Construct one table (similar...Ch. 2.1 - Cumulative Frequency Distributions. In Exercises...Ch. 2.1 - Cumulative Frequency Distributions. In Exercises...Ch. 2.1 - Categorical Data. In Exercises 23 and 24, use the...Ch. 2.1 - Categorical Data. In Exercises 23 and 24, use the...Ch. 2.1 - Large Data Sets. Exercises 2528 involve large sets...Ch. 2.1 - Large Data Sets. Exercises 2528 involve large sets...Ch. 2.1 - Large Data Sets. Exercises 2528 involve large sets...Ch. 2.1 - Large Data Sets. Exercises 2528 involve large sets...Ch. 2.1 - Interpreting Effects of Outliers Refer to Data Set...Ch. 2.2 - Heights Heights of adult males are normally...Ch. 2.2 - More Heights The population of heights of adult...Ch. 2.2 - Blood Platelet Counts Listed below are blood...Ch. 2.2 - Blood Platelet Counts If we collect a sample of...Ch. 2.2 - Interpreting a Histogram. In Exercises 58, answer...Ch. 2.2 - Prob. 6BSCCh. 2.2 - Interpreting a Histogram. In Exercises 58, answer...Ch. 2.2 - Prob. 8BSCCh. 2.2 - Constructing Histograms. In Exercises 9-16,...Ch. 2.2 - Constructing Histograms. In Exercises 9-16,...Ch. 2.2 - Burger King Lunch Service Times Use the frequency...Ch. 2.2 - Burger King Dinner Service Times Use the frequency...Ch. 2.2 - Wendys Lunch Service Times Use the frequency...Ch. 2.2 - Wendys Dinner Service Times Use the frequency...Ch. 2.2 - Analysis of Last Digits Use the frequency...Ch. 2.2 - Analysis of Last Digits Use the frequency...Ch. 2.2 - Back-to-Back Relative Frequency Histograms When...Ch. 2.2 - Interpreting Normal Quantile Plots Which of the...Ch. 2.3 - Body Temperatures Listed below are body...Ch. 2.3 - Voluntary Response Data If we have a large...Ch. 2.3 - Ethics There are data showing that smoking is...Ch. 2.3 - CVDOT Section 2-1 introduced important...Ch. 2.3 - Dotplots. In Exercises 5 and 6, construct the...Ch. 2.3 - Diastolic Blood Pressure Listed below are...Ch. 2.3 - Stem plots. In Exercises 7 and 8, construct the...Ch. 2.3 - Stemplots. In Exercises 7 and 8, construct the...Ch. 2.3 - Time-Series Graphs. In Exercises 9 and 10,...Ch. 2.3 - Time-Series Graphs. In Exercises 9 and 10,...Ch. 2.3 - Pareto Charts. In Exercises 11 and 12 construct...Ch. 2.3 - Pareto Charts. In Exercises 11 and 12 construct...Ch. 2.3 - Pie Charts. In Exercises 13 and 14, construct the...Ch. 2.3 - Pie Charts. In Exercises 13 and 14, construct the...Ch. 2.3 - Frequency Polygon. In Exercises 15 and 16,...Ch. 2.3 - Frequency Polygon. In Exercises 15 and 16,...Ch. 2.3 - Self-Driving Vehicles In a survey of adults,...Ch. 2.3 - Deceptive Graphs. In Exercises 17-20, identify how...Ch. 2.3 - Deceptive Graphs. In Exercises 17-20, identify how...Ch. 2.3 - Deceptive Graphs. In Exercises 17-20, identify how...Ch. 2.3 - Expanded Stemplots A stemplot can be condensed by...Ch. 2.4 - Linear Correlation In this section we use r to...Ch. 2.4 - Causation A study has shown that there is a...Ch. 2.4 - Scanerplot What is a scatterplot and how does it...Ch. 2.4 - Estimating r For each of the following, estimate...Ch. 2.4 - Scatterplot. In Exercises 5-8, use the sample data...Ch. 2.4 - Scatterplot. In Exercises 5-8, use the sample data...Ch. 2.4 - Scatterplot. In Exercises 5-8, use the sample data...Ch. 2.4 - Scatterplot. In Exercises 5-8, use the sample data...Ch. 2.4 - Linear Correlation Coefficient In Exercises 9-12,...Ch. 2.4 - Linear Correlation Coefficient In Exercises 9-12,...Ch. 2.4 - Linear Correlation Coefficient In Exercises 9-12,...Ch. 2.4 - Using the data from Exercise 8 Heights of Fathers...Ch. 2.4 - Prob. 13BBCh. 2.4 - P-Values In Exercises 13-16, write a statement...Ch. 2.4 - P-Values In Exercises 13-16, write a statement...Ch. 2.4 - P-Values In Exercises 13-16, write a statement...Ch. 2 - Cookies Refer to the accompanying frequency...Ch. 2 - Cookies Using the same frequency distribution from...Ch. 2 - Cookies Using the same frequency distribution from...Ch. 2 - Cookies A stemplot of the same cookies summarized...Ch. 2 - Computers As a quality control manager at Texas...Ch. 2 - Distribution of Wealth In recent years, there has...Ch. 2 - Health Test In an investigation of a relationship...Ch. 2 - Lottery In Floridas Play 4 lottery game, four...Ch. 2 - Seatbelts The Beams Seatbelts company...Ch. 2 - Seatbelts A histogram is to be constructed from...Ch. 2 - Frequency Distribution of Body Temperatures...Ch. 2 - Histogram of Body Temperatures Construct the...Ch. 2 - Dotplot of Body Temperatures Construct a dotplot...Ch. 2 - Stemplot of Body Temperatures Construct a stemplot...Ch. 2 - Body Temperatures Listed below are the...Ch. 2 - Environment a. After collecting the average (mean)...Ch. 2 - Its Like Time Do This Exercise In a Marist survey...Ch. 2 - Whatever Use the same data from Exercise 7 to...Ch. 2 - In Exercises 1-6 refer to the data below, which...Ch. 2 - Frequency Distribution For the frequency...Ch. 2 - In Exercises 1-6, refer to the data below, which...Ch. 2 - In Exercises 1-6, refer to the data below, which...Ch. 2 - In Exercises 1-6, refer to the data below, which...Ch. 2 - Data Type a. The listed playing times are all...Ch. 2 - It was stated in this chapter that the days of...Ch. 2 - Fast Food Restaurant Drive-Through Service Times:...
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