Fundamentals of Statistics Plus MyLab Statistics with Pearson eText - Title-Specific Access Card Package (5th Edition)
5th Edition
ISBN: 9780134763729
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 7CT
According to a study conducted by CESI Debt Solutions, 80% of married people hide purchases from their mates. In a random sample of 20 married people, find and interpret:
- a. The
probability exactly 15 hide purchases from their mates. - b. The probability at least 19 hide purchases from their mates.
- c. The probability fewer than 19 hide purchases from their mates. 0.9308
- d. The probability between 15 and 17, inclusive, hide purchases from their mates.
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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
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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 6 Solutions
Fundamentals of Statistics Plus MyLab Statistics with Pearson eText - Title-Specific Access Card Package (5th Edition)
Ch. 6.1 - What is a random variable?Ch. 6.1 - What is the difference between a discrete random...Ch. 6.1 - What are the two requirements for a discrete...Ch. 6.1 - In your own words, provide an interpretation of...Ch. 6.1 - In Problems 58, determine whether the random...Ch. 6.1 - In Problems 58, determine whether the random...Ch. 6.1 - In Problems 58, determine whether the random...Ch. 6.1 - In Problems 58, determine whether the random...Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 914, determine whether the...
Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 914, determine whether the...Ch. 6.1 - In Problems 15 and 16, determine the required...Ch. 6.1 - In Problems 15 and 16, determine the required...Ch. 6.1 - NW Televisions In the Sullivan Statistics Survey...Ch. 6.1 - Marriage In the following probability...Ch. 6.1 - Ichiros Hit Parade In the 2004 baseball season,...Ch. 6.1 - Waiting in Line A Wendys manager performed a study...Ch. 6.1 - In Problems 21 and 22, (a) construct a discrete...Ch. 6.1 - In Problems 21 and 22, (a) construct a discrete...Ch. 6.1 - Number of Births The graph of the discrete...Ch. 6.1 - Rental Units The graph of the discrete probability...Ch. 6.1 - NW Life Insurance A life insurance company sells a...Ch. 6.1 - Life Insurance A life insurance company sells a...Ch. 6.1 - Blackjack Blackjack is a popular casino game in...Ch. 6.1 - Investment An investment counselor calls with a...Ch. 6.1 - Roulette In the game of roulette, a player can...Ch. 6.1 - Connecticut Lottery In the Cash Five Lottery in...Ch. 6.1 - Powerball Powerball is a multistate lottery. 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