Statistics, Binder Ready Version: Unlocking the Power of Data
2nd Edition
ISBN: 9781119163664
Author: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock
Publisher: WILEY
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Chapter 1.1, Problem 12E
a.
To determine
Identify whether each variable is quantitative or categorical.
b.
To determine
Give at least two questions that might ask about any one of these individual variables.
c.
To determine
Give at least two questions that might ask about relationships between any two or more of the variables.
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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
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30
150
8
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10.95
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100
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15.96
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40
8.84
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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 1 Solutions
Statistics, Binder Ready Version: Unlocking the Power of Data
Ch. 1.1 - Prob. 1ECh. 1.1 - For the situations described in Exercises 1.1 to...Ch. 1.1 - For the situations described in Exercises 1.1 to...Ch. 1.1 - For the situations described in Exercises 1.1 to...Ch. 1.1 - For the situations described in Exercises 1.1 to...Ch. 1.1 - For the situations described in Exercises 1.1 to...Ch. 1.1 - In Exercises 1.7 to 1.10, a relationship between...Ch. 1.1 - In Exercises 1.7 to 1.10, a relationship between...Ch. 1.1 - Prob. 9ECh. 1.1 - Prob. 10E
Ch. 1.1 - Student Survey Variables Data 1.1 introduced the...Ch. 1.1 - Countries of the World Information about the...Ch. 1.1 - Spider Sex Play Spiders regularly engage in spider...Ch. 1.1 - Hormones and Fish Fertility When women take birth...Ch. 1.1 - Fast-Twitch Muscles and Race Example 1.5 studied a...Ch. 1.1 - Rowing Solo Across the Atlantic Ocean On January...Ch. 1.1 - Largest Cities in the World Seven of the ten...Ch. 1.1 - Trans-Generational Effects of Diet Can experiences...Ch. 1.1 - Trans-Generational Effects of Environment In...Ch. 1.1 - Hookahs and Health Hookahs are waterpipes used for...Ch. 1.1 - Prob. 21ECh. 1.1 - Don’t Text While Studying! For the 2015 Intel...Ch. 1.1 - Prob. 23ECh. 1.1 - Prob. 24ECh. 1.1 - Prob. 25ECh. 1.1 - Prob. 26ECh. 1.1 - Prob. 27ECh. 1.2 - In Exercises 1.28 to 1.31, state whether the data...Ch. 1.2 - Prob. 29ECh. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Prob. 33ECh. 1.2 - Prob. 34ECh. 1.2 - Prob. 35ECh. 1.2 - In Exercises 1.36 to 1.39, a biased sampling...Ch. 1.2 - Prob. 37ECh. 1.2 - Prob. 38ECh. 1.2 - Prob. 39ECh. 1.2 - In Exercises 1.40 to 1.45, state whether or not...Ch. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - In Exercises 1.40 to 1.45, state whether or not...Ch. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - In Exercises 1.46 to 1.50, indicate whether we...Ch. 1.2 - Prob. 49ECh. 1.2 - Prob. 50ECh. 1.2 - Prob. 51ECh. 1.2 - Wearing a Uniform to Work The website fox6now.com...Ch. 1.2 - Prob. 53ECh. 1.2 - Prob. 54ECh. 1.2 - Prob. 55ECh. 1.2 - Prob. 56ECh. 1.2 - Prob. 57ECh. 1.2 - Prob. 58ECh. 1.2 - Prob. 59ECh. 1.2 - Prob. 60ECh. 1.2 - Prob. 61ECh. 1.2 - Prob. 62ECh. 1.2 - Prob. 63ECh. 1.2 - Interviewing the Film Crew on Hollywood Movies...Ch. 1.2 - Sampling Some Hardee’s Restaurants The Hardee’s...Ch. 1.3 - Prob. 66ECh. 1.3 - In Exercises 1.66 to 1.71, we give a headline that...Ch. 1.3 - Prob. 68ECh. 1.3 - Prob. 69ECh. 1.3 - In Exercises 1.66 to 1.71, we give a headline that...Ch. 1.3 - Prob. 71ECh. 1.3 - Exercises 1.72 to 1.77 describe an association...Ch. 1.3 - Prob. 73ECh. 1.3 - Prob. 74ECh. 1.3 - Prob. 75ECh. 1.3 - Exercises 1.72 to 1.77 describe an association...Ch. 1.3 - Prob. 77ECh. 1.3 - In Exercises 1.78 to 1.81, we describe data...Ch. 1.3 - Prob. 79ECh. 1.3 - Prob. 80ECh. 1.3 - Prob. 81ECh. 1.3 - Prob. 82ECh. 1.3 - Prob. 83ECh. 1.3 - Prob. 84ECh. 1.3 - Prob. 85ECh. 1.3 - Prob. 86ECh. 1.3 - Prob. 87ECh. 1.3 - Prob. 88ECh. 1.3 - Prob. 89ECh. 1.3 - Do Online Cat Videos Improve Mood? Exercise 1.59...Ch. 1.3 - Green Spaces Make Kids Smarter A recent article50...Ch. 1.3 - Prob. 92ECh. 1.3 - Sitting Is the New Smoking A 2014 headline reads...Ch. 1.3 - Late Night Eating It is well-known that lack of...Ch. 1.3 - To Spoon or Not to Spoon? Does cuddling after sex...Ch. 1.3 - Prob. 96ECh. 1.3 - Prob. 97ECh. 1.3 - Diet Cola and Weight Gain in Humans A study59...Ch. 1.3 - Prob. 99ECh. 1.3 - Urban Brains and Rural Brains A study published in...Ch. 1.3 - Prob. 101ECh. 1.3 - Prob. 102ECh. 1.3 - Prob. 103ECh. 1.3 - Do Children Need Sleep to Grow? About 60% of a...Ch. 1.3 - Prob. 105ECh. 1.3 - Prob. 106ECh. 1.3 - Prob. 107E
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