Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134763699
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 6.2, Problem 19AYU
In Problems 17–28, a binomial
19. n = 40, p = 0.99, x = 38
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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 6 Solutions
Fundamentals of Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- 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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In May, 2000, the Gallup...Ch. 6.2 - Racial Profiling in New York City The following...Ch. 6.2 - Overbooking Flights Historically, the probability...Ch. 6.2 - Athletics Participation According to the High...Ch. 6.2 - Putting It Together: Beating the Stock Market One...Ch. 6.2 - State the criteria for a binomial probability...Ch. 6.2 - Explain what success means in a binomial...Ch. 6.2 - Explain how the value of n, the number of trials...Ch. 6.2 - Prob. 57AYUCh. 6.2 - When can the Empirical Rule be used to identify...Ch. 6 - Determine whether the random variable is discrete...Ch. 6 - Determine whether the distribution is a discrete...Ch. 6 - Stanley Cup The Stanley Cup is a best-of-seven...Ch. 6 - Expected Value of Three-Card Poker A popular...Ch. 6 - Determine whether the probability experiment...Ch. 6 - Emergency Room Visits The probability that a...Ch. 6 - Driving Age According to a Gallup poll, 60% of...Ch. 6 - Consider a binomial probability distribution with...Ch. 6 - State the condition required to use the Empirical...Ch. 6 - In sampling from finite populations without...Ch. 6 - Self-Injury According to the article...Ch. 6 - Prob. 1CTCh. 6 - Determine whether the distribution is a discrete...Ch. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - State the criteria that must be met for an...Ch. 6 - Determine whether the probability experiment...Ch. 6 - According to a study conducted by CESI Debt...Ch. 6 - Suppose the adult American population is equally...Ch. 6 - Consider a binomial probability distribution with...Ch. 6 - A woman who was shopping in Los Angeles had her...Ch. 6 - Using the information provided, describe, through...Ch. 6 - Does it appear that, on average, the Neulnders...Ch. 6 - Using the mean number of freights purchased per...Ch. 6 - Is it appropriate to estimate the average cost of...Ch. 6 - Throughout the picturesque valleys of...Ch. 6 - Throughout the picturesque valleys of...
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