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Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 2.2, Problem 12BSC
Normal Distributions. In Exercises 11-14, answer the given questions which are related to normal distributions.
12. Identifying the Distribution Does the frequency distribution given in Exercise 7 appear to have a
7.
Verbal IQ Score of Subject Exposed to Lead |
Frequency |
50-59 | 4 |
60-69 | 10 |
70-79 | 25 |
80-69 | 43 |
90-99 | 26 |
100-109 | 8 |
110-119 | 3 |
120-129 | 2 |
Expert Solution & Answer
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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
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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
bd
-1
1
-1
1
4
abd
1
1
-1
1
5
cd
-1
-1
1
-1
6
acd
1
-1
1
-1
7
bc
-1
1
1
-1
abc
1
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-1
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
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Chapter 2 Solutions
Essentials of Statistics (5th Edition)
Ch. 2.2 - Frequency Distribution Table 2-2 on page 45 is a...Ch. 2.2 - Relative Frequency Distribution After construction...Ch. 2.2 - Do You Believe? In a Harris Interactive survey,...Ch. 2.2 - Analyzing a Frequency Distribution The...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...Ch. 2.2 - In Exercises 5-10, identify the class width, class...
Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Normal Distributions. In Exercises 11-14, answer...Ch. 2.2 - Relative Frequencies for Comparisons. In Exercises...Ch. 2.2 - Relative Frequencies for Comparisons. In Exercises...Ch. 2.2 - Cumulative Frequency Distributions. In Exercises...Ch. 2.2 - Cumulative Frequency Distributions. In Exercises...Ch. 2.2 - Analysis of Last Digits Heights of statistics...Ch. 2.2 - Analysis of Last Digits Weights of respondents...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Constructing Frequency Distributions. In Exercises...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Categorical Data. In Exercises 29-32, use the...Ch. 2.2 - Interpreting Effects of Outliers Refer to Data Set...Ch. 2.2 - Number of Classes According to what is known as...Ch. 2.3 - Prob. 1BSCCh. 2.3 - Voluntary Response Sample The histogram in Figure...Ch. 2.3 - Small Data NASA provides these duration times (in...Ch. 2.3 - Normal Distribution When it refers to a normal...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.3 - Analysis of Last Digits Use the frequency...Ch. 2.3 - Analysis of Last Digits Use the frequency...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Prob. 15BSCCh. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Constructing Histograms. In Exercises 9-18,...Ch. 2.3 - Back-to-Back Relative Frequency Histograms When...Ch. 2.3 - Interpreting a Histogram. In Exercises 5-8, answer...Ch. 2.4 - Bar Chart and Pareto Chart A bar chart and a...Ch. 2.4 - Scatterplot What is a scatterplot? What type of...Ch. 2.4 - SAT Scores Listed below are SAT scores from a...Ch. 2.4 - SAT Scores Given that the data in Exercise 3 were...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Scatterplots. In Exercises 5-8, use the given...Ch. 2.4 - Time-Series Graphs. In Exercises 9 and 10,...Ch. 2.4 - Time-Series Graphs. In Exercises 9 and 10,...Ch. 2.4 - Dotplots. In Exercises II and 12, construct the...Ch. 2.4 - Dotplots. In Exercises 11 and 12, construct the...Ch. 2.4 - Stemplots. In Exercises 13 and 14, construct the...Ch. 2.4 - Stemplots. In Exercises 13 and 14, construct the...Ch. 2.4 - Pareto Charts. In Exercises 15 and 16, construct...Ch. 2.4 - Pareto Charts. In Exercises 15 and 16, construct...Ch. 2.4 - Pie Charts. In Exercises 17 and 18, construct the...Ch. 2.4 - Pie Charts. In Exercises 17 and 18, construct the...Ch. 2.4 - Frequency Polygon. In Exercises 19 and 20,...Ch. 2.4 - Frequency Polygon. In Exercises 19 and 20,...Ch. 2.4 - Deceptive Graphs. In Exercises 21-24, identify the...Ch. 2.4 - Deceptive Graphs. 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In Exercises 21-24, identify the...Ch. 2.4 - Back-to-Back Stemplots Exercise 19 in Section 2-3...Ch. 2 - When one is constructing a table representing the...Ch. 2 - When one is constructing a table representing the...Ch. 2 - When one is constructing a table representing the...Ch. 2 - A stemplot is created from the intervals (min)...Ch. 2 - In the California Daily 4 lottery, four digits...Ch. 2 - In an investigation of the travel costs of college...Ch. 2 - In an investigation of the relationship between...Ch. 2 - As a quality control manager at Sony, you find...Ch. 2 - What characteristic of a data set can be better...Ch. 2 - A histogram is to be constructed from the brain...Ch. 2 - Frequency Distribution of Brain Volumes Construct...Ch. 2 - Histogram of Brain Volumes Construct the histogram...Ch. 2 - Dotplot of California Lottery In the California...Ch. 2 - Stemplot of IQ Scores Listed below are the first...Ch. 2 - CO Emissions Listed below are the amounts (million...Ch. 2 - CO and NO Emissions Exercise 5 lists the amounts...Ch. 2 - Sports Equipment According to USA Today, the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - In Exercises 1-5, refer to the table in the...Ch. 2 - Grooming Time Listed below are times (minutes)...Ch. 2 - Histogram of Grooming Times Use the frequency...Ch. 2 - Stemplot of Grooming Times Use the data from...Ch. 2 - Technology Project It was noted in this section...Ch. 2 - Flight Planning Data Set 15 in Appendix B includes...Ch. 2 - Prob. 2FDDCh. 2 - Flight Planning Data Set 15 in Appendix B includes...
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