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Statistics (13th Edition)
13th Edition
ISBN: 9780134080215
Author: James T. McClave, Terry T Sincich
Publisher: PEARSON
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Question
Chapter 11.2, Problem 15UP
To determine
Explain about the error of prediction.
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Students have asked these similar questions
Cycles to
failure
Position in
ascending
order
0.5
f(x))
(x;)
Problem 44
Marsha, a renowned cake scientist, is trying to determine how long different cakes can survive intense fork attacks before collapsing into crumbs.
To simulate real-world cake consumption, she designs a test where cakes are subjected to repeated fork stabs and bites, mimicking the brutal
reality of birthday parties. After rigorous testing, Marsha records 10 observations of how many stabs each cake endured before structural failure.
Construct P-P plots for (a.) a normal distribution, (b.) a lognormal distribution, and (c.) a Weibull distribution (using the information included in the
table below). Which distribution seems to be the best model for the cycles to failure for this material? Explain your answer in detail.
Observation
Empirical
cumulative
Probability distribution
Cumulative distribution
Inverse of cumulative
distribution F-1 (-0.5)
F(x))
(S)
n
4
3
1
0.05
9
5
2
0.15
7
7
3
0.25
1
10
4
0.35
3
12
5
0.45
Normal…
Problem 3
In their lab, engineer Daniel and Paulina are desperately trying to perfect time travel. But the problem is that
their machine still struggles with power inconsistencies-sometimes generating too little energy, other times
too much, causing unstable time jumps. To prevent catastrophic misjumps into the Jurassic era or the far
future, they must calibrate the machine's power output. After extensive testing, they found that the time
machine's power output follows a normal distribution, with an average energy level of 8.7 gigawatts and a
standard deviation of 1.2 gigawatts.
The Time Travel Safety Board has set strict guidelines: For a successful time jump, the
machine's power must be between 8.5 and 9.5 gigawatts. What is the probability that a randomly
selected time jump meets this precision requirement?
Daniel suggests that adjusting the mean power output could improve time-travel accuracy.
Can adjusting the mean reduce the number of dangerous misjumps? If yes, what should the…
Problem 5 (
Marybeth is also interested in the experiment from Problem 2 (associated with the enhancements for Captain
America's shield), so she decides to start a detailed literature review on the subject. Among others, she found
a paper where they used a 2"(4-1) fractional factorial design in the factors: (A) shield material, (B) throwing
mechanism, (C) edge modification, and (D) handle adjustment. The experimental design used in the paper is
shown in the table below.
a.
Run
A
B
с
D
1
(1)
-1
-1
-1
1
2
a
1
-1
-1
1
3
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-1
1
-1
1
4
abd
1
1
-1
1
5
cd
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-1
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-1
6
acd
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-1
1
-1
7
bc
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1
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abc
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paper?
s) What was the generator used in the 2"(4-1) fractional factorial design described in the
b.
Based on the resolution of this design, what do you think about the generator used in the
paper? Do you think it was a good choice, or would you have selected a different one? Explain your
answer in detail.
Chapter 11 Solutions
Statistics (13th Edition)
Ch. 11.1 - Why do we generally prefer a probabilistic model...Ch. 11.1 - What is the difference between a dependent...Ch. 11.1 - What is the line of means?
Ch. 11.1 - If a straight-line probabilistic relationship...Ch. 11.1 - 11.1 In each case, graph the line that passes...Ch. 11.1 - Give the slope and y-intercept for each of the...Ch. 11.1 - Prob. 7LMCh. 11.1 - Prob. 8LMCh. 11.1 - Prob. 9LMCh. 11.1 - Give the slope and y-intercept for each of the...
Ch. 11.1 - Measuring the moon’s orbit. A handheld digital...Ch. 11.1 - Prob. 12ACBCh. 11.1 - Prob. 13ACBCh. 11.1 - Prob. 14ACBCh. 11.2 - In regression, what is an error of prediction?
Ch. 11.2 - Prob. 16UPCh. 11.2 - Prob. 17UPCh. 11.2 - The accompanying table is used to make the...Ch. 11.2 - 11.15 Refer to Exercise 11.14. After the least...Ch. 11.2 - Prob. 20LMCh. 11.2 - Consider the following pairs of...Ch. 11.2 - Applet Exercise 11.1
Use the applet Regression by...Ch. 11.2 - Prob. 22ACBCh. 11.2 - Prob. 23ACBCh. 11.2 - Prob. 24ACBCh. 11.2 - New method for blood typing. Refer to the...Ch. 11.2 - Mongolian desert ants. Refer to the Journal of...Ch. 11.2 - Prob. 27ACBCh. 11.2 - Repair and replacement costs of water pipes. Pipes...Ch. 11.2 - Prob. 29ACICh. 11.2 - FCAT scores and poverty. In the state of Florida,...Ch. 11.2 - Sound waves from a basketball. Refer to the...Ch. 11.2 - 11.26 Sweetness of orange juice. The quality of...Ch. 11.2 - Prob. 33ACICh. 11.2 - Prob. 34ACICh. 11.2 - Prob. 35ACACh. 11.2 -
11.27 Forecasting movie revenues with Twitter....Ch. 11.3 - What are the four assumptions made about the...Ch. 11.3 - Prob. 38UPCh. 11.3 - Prob. 39LMCh. 11.3 - Suppose you fit a least squares line to 12 data...Ch. 11.3 - Refer to Exercises 11.18 and 11.21 (p. 597)....Ch. 11.3 - Prob. 42ACBCh. 11.3 - Prob. 43ACBCh. 11.3 - Prob. 44ACBCh. 11.3 - Prob. 45ACBCh. 11.3 - Prob. 46ACBCh. 11.3 - Prob. 47ACBCh. 11.3 - Prob. 48ACICh. 11.3 - FCAT scores and poverty. Refer to the Journal of...Ch. 11.3 - Prob. 50ACICh. 11.3 - Ideal height of your mate. Refer to the Chance...Ch. 11.3 - Prob. 52ACACh. 11.4 - In the equation E(y) = β0 + β1x, what is the value...Ch. 11.4 - What conditions are required for valid inferences...Ch. 11.4 - How do you adjust the p-value obtained from a...Ch. 11.4 - Prob. 56UPCh. 11.4 - Construct both a 95% and a 90% confidence interval...Ch. 11.4 - Consider the following pairs of...Ch. 11.4 - Consider the following pairs of...Ch. 11.4 - Congress voting on women’s issues. The American...Ch. 11.4 - Estimating repair and replacement costs of water...Ch. 11.4 - Prob. 62ACBCh. 11.4 - Lobster fishing study. Refer to the Bulletin of...Ch. 11.4 - 11.56 Beauty and electoral success. Are good looks...Ch. 11.4 - 11 57 Ranking driving performance of professional...Ch. 11.4 - FCAT scores and poverty. Refer to the Journal of...Ch. 11.4 - Sweetness of orange juice. Refer to Exercise...Ch. 11.4 - Ideal height of your mate. Refer to the Chance...Ch. 11.4 - Forest fragmentation study. Refer to the...Ch. 11.4 - Effect of massage on boxers. Refer to the British...Ch. 11.4 - Eye anatomy of giraffes. Giraffes are believed to...Ch. 11.4 - Pain empathy and brain activity, Empathy refers to...Ch. 11.4 - Characterizing bone with fractal geometry. In...Ch. 11.4 - The “name game.” Refer to the Journal of...Ch. 11.4 - Does elevation affect hitting performance in...Ch. 11.4 - 11.62 Spreading rate of spilled liquid. Refer to...Ch. 11.5 - True or False. The correlation coefficient is a...Ch. 11.5 - Describe the slope of the least squares line if
r...Ch. 11.5 - Explain what each of the following sample...Ch. 11.5 - True or False. A value of the correlation...Ch. 11.5 - Construct a scatterplot for each data set. Then...Ch. 11.5 - Calculate r2 for the least squares line in...Ch. 11.5 - Calculate r2 for the least squares line in...Ch. 11.5 - Use the applet Correlation by Eye to explore the...Ch. 11.5 - 11.71 RateMyProfessors.com. A popular Web site...Ch. 11.5 - 11.72 Last name and acquisition timing. Refer to...Ch. 11.5 - Taste-testing scales. Refer to the Journal of Food...Ch. 11.5 - 11.69 Going for it on fourth-down in the NFL Each...Ch. 11.5 - Lobster fishing study. Refer to the Bulletin of...Ch. 11.5 - 80215-11.5-90ACB
Redshifts of quasi-stellar...Ch. 11.5 - 11.79 Evaluation of an imputation method for...Ch. 11.5 - Salary linked to height. Are short people...Ch. 11.5 - Prob. 93ACICh. 11.5 - Eye anatomy of giraffes. Refer to the African...Ch. 11.5 - Do nice guys finish first or last? Refer to the...Ch. 11.5 - The “name game.” Refer to the Journal of...Ch. 11.5 - Effect of massage on boxing. Refer to the British...Ch. 11.5 - Child labor in diamond mines. The role of child...Ch. 11.5 - Plants that grow on Swiss cliffs. Refer to the...Ch. 11.5 - Pain tolerance study. A study published in...Ch. 11.6 - Explain the difference between y and E(y) for a...Ch. 11.6 - True or False. For a given x. a confidence...Ch. 11.6 - True or False. The greater the deviation between x...Ch. 11.6 - For each of the following, decide whether the...Ch. 11.6 - 11.85 In fitting a least squares line to n = 10...Ch. 11.6 - Consider the following pairs of...Ch. 11.6 - Consider the following pairs of measurements.
For...Ch. 11.6 - Refer to Exercise 11.107.
Using no information...Ch. 11.6 - 11.86 In business, do nice guys finish first or...Ch. 11.6 - Measuring the moon’s orbit. Refer to the American...Ch. 11.6 - Mongolian desert ants. Refer to the Journal of...Ch. 11.6 - Ranking driving performance of professional...Ch. 11.6 - Sweetness of orange juice. Refer to the simple...Ch. 11.6 -
Removal nitrogen from toxic wastewater. Highly...Ch. 11.6 - Game performance of water polo players. Refer to...Ch. 11.6 - Sound waves from a basketball. Refer to the...Ch. 11.6 - Ideal height of your mate. Refer to the Chance...Ch. 11.6 - The “name game.” Refer to the Journal of...Ch. 11.6 - 11.93 Spreading rate of spilled liquid Refer to...Ch. 11.6 - Forecasting movie revenues with Twitter. Refer to...Ch. 11.6 - 11 96 Life tests of cutting tools Refer to the...Ch. 11.7 - Impact of dropping ping-pong balls. The impact of...Ch. 11.7 - Prob. 123ACICh. 11.7 - 11.100 An MBA’s work-life balance. The importance...Ch. 11.7 - Legal advertising—does it pay? To gain a...Ch. 11 - Prob. 126UPCh. 11 - Give the general form of a straight-line model for...Ch. 11 - Outline the five steps in a simple linear...Ch. 11 - True or False. In simple linear regression, about...Ch. 11 - 11.101 In fitting a least squares line ton= 15...Ch. 11 - 11.102 Consider the following sample...Ch. 11 - 11.103 Consider the following 10 data...Ch. 11 - Arsenic in soil. In Denver, Colorado,...Ch. 11 - Wind turbine blade stress. Mechanical engineers at...Ch. 11 - 11.110 Sports news on local TV broadcasts. The...Ch. 11 - Predicting sale prices of homes. Real-estate...Ch. 11 - Baseball balling averages versus wins. Is the...Ch. 11 - Prob. 138ACBCh. 11 - Prob. 139ACBCh. 11 - English as a second language reading ability. What...Ch. 11 - Prob. 141ACBCh. 11 - New method of estimating rainfall. Accurate...Ch. 11 - Prob. 143ACICh. 11 - Prob. 144ACICh. 11 - Mortality of predatory birds. Two species of...Ch. 11 - Prob. 146ACICh. 11 - Prob. 147ACICh. 11 - Dance/movement therapy. In cotherapy, two or more...Ch. 11 - Prob. 149ACICh. 11 - Snow geese feeding trial. Botanists at the...Ch. 11 - Prob. 151ACACh. 11 - Prob. 152ACACh. 11 - Prob. 153CTC
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