Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 3, Problem 22P
Estimates of the prevalence of Alzheimer’s disease have recently been provided by Pfeffer et al. [8]. The estimates are given in Table 3.5.
Suppose an unrelated 77-year-old man, 76-year-old woman, and 82-year-old woman are selected from a community.
Suppose we know two of the three people have Alzheimer’s disease. What is the conditional
Table 3.5 Prevalence of Alzheimer’s disease (cases per 100 population)
![Chapter 3, Problem 22P, Estimates of the prevalence of Alzheimers disease have recently been provided by Pfeffer et al. [8].](http://dev-ingestion-image-output.s3-website-us-east-1.amazonaws.com/9781305268920/Chapter-3/images/68920-3-22p-question-digital_image_001.png)
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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)
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(S)
n
4
3
1
0.05
9
5
2
0.15
7
7
3
0.25
1
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4
0.35
3
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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
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-1
-1
-1
1
2
a
1
-1
-1
1
3
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1
-1
1
4
abd
1
1
-1
1
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-1
6
acd
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1
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7
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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 3 Solutions
Fundamentals of Biostatistics
Ch. 3.6 - What is the frequency definition of probability?Ch. 3.6 - What is the difference between independent and...Ch. 3.6 - What are mutually exclusive events?Ch. 3.6 - What is the addition law of probability?Ch. 3.6 - What is conditional probability? How does it...Ch. 3.6 - What is relative risk? How do you interpret it?Ch. 3.6 - Prob. B.1RECh. 3.6 - Suppose the rate of type II diabetes mellitus (DM)...Ch. 3.7 - What is the sensitivity and specificity of a...Ch. 3.7 - What are the PV+ and PV of a screening test? How...
Ch. 3.7 - Prob. C.3RECh. 3.7 - What is Bayes rule? How is it used?Ch. 3.7 - Prob. D.2RECh. 3.7 - Prob. D.3RECh. 3.7 - Prob. D.4RECh. 3.10 - Suppose that of 25 students in a class, 5 are...Ch. 3.10 - Suppose 50 HIV-positive men are identified, 5 of...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Prob. 11PCh. 3 - Suppose an influenza epidemic strikes a city. In...Ch. 3 - Suppose there is a 20% chance each child will get...Ch. 3 - Suppose there is a 20% chance each child will get...Ch. 3 - Suppose there is a 20% chance each child will get...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Suppose a study of Alzheimers disease is proposed...Ch. 3 - Suppose a study of Alzheimers disease is proposed...Ch. 3 - Commonly used vaccines for influenza are trivalent...Ch. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Genetics Suppose that a disease is inherited via a...Ch. 3 - Genetics Suppose that a disease is inherited via a...Ch. 3 - Genetics Suppose that a disease is inherited via a...Ch. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Suppose that a disease is inherited via an...Ch. 3 - Suppose that a disease is inherited via an...Ch. 3 - Prob. 39PCh. 3 - Suppose that a disease is inherited via a...Ch. 3 - Suppose that a disease is inherited via a...Ch. 3 - Suppose that a disease is inherited via a...Ch. 3 - Suppose that a disease is inherited via a...Ch. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Obstetrics The following data are derived from the...Ch. 3 - Obstetrics The following data are derived from the...Ch. 3 - Obstetrics The following data are derived from the...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Suppose, alternatively, that if the father is a...Ch. 3 - Suppose, alternatively, that if the father is a...Ch. 3 - Prob. 57PCh. 3 - The familial aggregation of respiratory disease is...Ch. 3 - The familial aggregation of respiratory disease is...Ch. 3 - The familial aggregation of respiratory disease is...Ch. 3 - The familial aggregation of respiratory disease is...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Genetics, Obstetrics Precise quantification of...Ch. 3 - Precise quantification of smoking during pregnancy...Ch. 3 - Precise quantification of smoking during pregnancy...Ch. 3 - What is another name for this quantity? Suppose it...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Pulmonary Disease Research into cigarette-smoking...Ch. 3 - Pulmonary Disease Research into cigarette-smoking...Ch. 3 - Laboratory measures of cardiovascular reactivity...Ch. 3 - Laboratory measures of cardiovascular reactivity...Ch. 3 - Laboratory measures of cardiovascular reactivity...Ch. 3 - The data set in Table 3.12 is based on 214...Ch. 3 - The data set in Table 3.12 is based on 214...Ch. 3 - The data set in Table 3.12 is based on 214...Ch. 3 - A drug company is developing a new pregnancy-test...Ch. 3 - A drug company is developing a new pregnancy-test...Ch. 3 - A drug company is developing a new pregnancy-test...Ch. 3 - Gynecology A drug company is developing a new...Ch. 3 - The Chinese Mini-Mental Status Test (CMMS)...Ch. 3 - The Chinese Mini-Mental Status Test (CMMS)...Ch. 3 - Mental Health The Chinese Mini-Mental Status Test...Ch. 3 - Construct an ROC curve based on the table...Ch. 3 - Mental Health The Chinese Mini-Mental Status Test...Ch. 3 - Calculate the area under the ROC curve. Interpret...Ch. 3 - Demography A study based on data collected from...Ch. 3 - Prob. 94PCh. 3 - Demography A study based on data collected from...Ch. 3 - Demography A study based on data collected from...Ch. 3 - Prob. 97PCh. 3 - The 4 allele of the gene encoding apolipoprotein E...Ch. 3 - Mental Health The 4 allele of the gene encoding...Ch. 3 - Mental Health The 4 allele of the gene encoding...Ch. 3 - Cardiovascular Disease A fascinating subject of...Ch. 3 - Cardiovascular Disease A fascinating subject of...Ch. 3 - Are these proportions prevalence rates, incidence...Ch. 3 - Prob. 104PCh. 3 - A dominantly inherited genetic disease is...Ch. 3 - A dominantly inherited genetic disease is...Ch. 3 - Prob. 107PCh. 3 - Infectious Disease, Cardiovascular Disease A...Ch. 3 - Infectious Disease, Cardiovascular Disease A...Ch. 3 - Infectious Disease, Cardiovascular Disease A...Ch. 3 - Prob. 114PCh. 3 - Genetics Suppose a birth defect has a recessive...Ch. 3 - A further study finds that after 10 generations...Ch. 3 - A further study finds that after 10 generations...Ch. 3 - Orthopedics Piriformis syndrome is a pelvic...Ch. 3 - Prob. 119PCh. 3 - Orthopedics Piriformis syndrome is a pelvic...Ch. 3 - Prob. 121PCh. 3 - Cancer Breast cancer is considered largely a...Ch. 3 - Cancer Breast cancer is considered largely a...Ch. 3 - Cancer Breast cancer is considered largely a...Ch. 3 - Prob. 125PCh. 3 - Cardiovascular Disease Mayo Clinic investigators...Ch. 3 - Prob. 127PCh. 3 - Prob. 128PCh. 3 - Prob. 129PCh. 3 - Prob. 130PCh. 3 - Prob. 131PCh. 3 - Prob. 132PCh. 3 - Radiology Mobile displays have the potential to...Ch. 3 - Radiology Mobile displays have the potential to...Ch. 3 - Prob. 135PCh. 3 - Prob. 136PCh. 3 - Prob. 137PCh. 3 - Cardiovascular Disease The ankle-arm...Ch. 3 - Cardiovascular Disease The ankle-arm...Ch. 3 - Cardiovascular Disease The ankle-arm...Ch. 3 - Prob. 141PCh. 3 - Prob. 142PCh. 3 - Prob. 143PCh. 3 - Obstetrics, Health Promotion A study was performed...
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