Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134210247
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 4E
Movie ratings The Motion Picture Association of America (MPAA) rates each film to designate the appropriate audience. The ratings are G, PG, PG-13, and R. The pie chart shows the MPAA ratings of the same 891 movies released in 2014 and 2015 as in Exercise 3.
- a) Is this an appropriate display for the ratings? Why or why not?
- b) Which was the most common rating?
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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?
Stem1: 1,4
Stem 2: 2,4,8
Stem3: 2,4
Stem4: 0,1,6,8
Stem5: 0,1,2,3,9
Stem 6: 2,2
What’s the Min,Q1, Med,Q3,Max?
Chapter 2 Solutions
Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
Ch. 2.3 - You may be surprised to find that you already have...Ch. 2.3 - You may be surprised to find that you already have...Ch. 2.3 - You may be surprised to find that you already have...Ch. 2.3 - Prob. 4JCCh. 2.3 - Prob. 5JCCh. 2.5 - The U.S. Census Bureau reports the median family...Ch. 2.5 - Prob. 7JCCh. 2.5 - Prob. 8JCCh. 2 - SECTION 2.1 1. Automobile fatalities The table...Ch. 2 - Nonoccupant fatalities The frequencies of traffic...
Ch. 2 - Prob. 3ECh. 2 - Movie ratings The Motion Picture Association of...Ch. 2 - Prob. 5ECh. 2 - Marriage in decline Changing attitudes about...Ch. 2 - Traffic fatalities 2013 Here are two histograms...Ch. 2 - Prob. 8ECh. 2 - Prob. 9ECh. 2 - Prob. 10ECh. 2 - E-mails A university teacher saved every e-mail...Ch. 2 - Adoptions The U.S. Census Bureau keeps track of...Ch. 2 - Biceps revisited Describe the shape of the...Ch. 2 - E-mails II For the distribution of e-mails sent by...Ch. 2 - Life expectancy Here are the life expectancies at...Ch. 2 - Prob. 16ECh. 2 - Life expectancy II For the 146 life expectancies...Ch. 2 - Adoptions II For the number of adoptions in...Ch. 2 - How big is your bicep II? For the bicep...Ch. 2 - Shoe sizes II For the shoe sizes in Exercise 16,...Ch. 2 - SECTION 2.5 21. Life expectancy III For the 190...Ch. 2 - Prob. 22ECh. 2 - How big is your bicep III? For the bicep...Ch. 2 - Prob. 24ECh. 2 - Thinking about shape Would you expect...Ch. 2 - More shapes Would you expect distributions of...Ch. 2 - Movie genres again Here is a bar chart summarizing...Ch. 2 - Prob. 36ECh. 2 - Prob. 37ECh. 2 - Prob. 38ECh. 2 - Prob. 39ECh. 2 - Prob. 40ECh. 2 - Prob. 41ECh. 2 - Prob. 42ECh. 2 - Prob. 43ECh. 2 - Modalities A survey of athletic trainers asked...Ch. 2 - Cereals The histogram shows the carbohydrate...Ch. 2 - Run times One of the authors collected the times...Ch. 2 - Heart attack stays The histogram shows the lengths...Ch. 2 - Bird species 2013 The Cornell Lab of Ornithology...Ch. 2 - Super Bowl points 2016 How many points do football...Ch. 2 - Prob. 50ECh. 2 - Test scores, large class Test scores from a large...Ch. 2 - Prob. 52ECh. 2 - Mistake A clerk entering salary data into a...Ch. 2 - Sick days During contract negotiations, a company...Ch. 2 - Prob. 55ECh. 2 - Tornadoes 2015 Here are the annual numbers of...Ch. 2 - Prob. 57ECh. 2 - Tornadoes 2015 II Using the data from Exercise 56,...Ch. 2 - Pizza prices The histogram shows the distribution...Ch. 2 - Neck size The histogram shows the neck sizes (in...Ch. 2 - Pizza prices again Look again at the histogram of...Ch. 2 - Neck sizes again Look again at the histogram of...Ch. 2 - Movie lengths 2010 The histogram shows the running...Ch. 2 - Golf drives 2015 The display shows the average...Ch. 2 - Prob. 65ECh. 2 - Golf drives II 2015 Exercise 64 looked at...Ch. 2 - Prob. 67ECh. 2 - Cold weather A meteorologist preparing a talk...Ch. 2 - Gasoline 2014 In January 2014, 16 gas stations in...Ch. 2 - The great one During his 20 seasons in the NHL,...Ch. 2 - Prob. 71ECh. 2 - Prob. 72ECh. 2 - Prob. 73ECh. 2 - Prob. 74ECh. 2 - Prob. 75ECh. 2 - Prob. 76ECh. 2 - Acid rain Two researchers measured the pH (a scale...Ch. 2 - Marijuana 2015 In 2015 the Council of Europe...Ch. 2 - Prob. 79ECh. 2 - Prob. 80ECh. 2 - Prob. 81ECh. 2 - ZIP codes revisited Here are some summary...Ch. 2 - Prob. 83ECh. 2 - Prob. 84ECh. 2 - Prob. 85E
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