Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Textbook Question
Chapter 6, Problem 85P
A study was performed to investigate the variability of cholesterol and other lipid measures in children. The reported within-subject standard deviation for cholesterol in children was 7.8 mg/dL [10].
Suppose an average of two total cholesterol determinations is to be used as a screening tool to identify children with high cholesterol. The investigators wish to find a value c, such that all children whose mean cholesterol values over two determinations are ≥c will be called back for further screening, whereas children whose mean cholesterol values are <c will not be followed any further. To determine c, the investigators want to choose a value c such that the lower one-sided 90% CI for μ if the observed average cholesterol over two determinations = c would exclude 250 mg/dL. What is the largest value of c that satisfies this requirement?
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Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?
Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).
If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}.
Using the lone-divider method, how many different fair divisions of this cake are possible?
Theorem 2.6 (The Minkowski inequality)
Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and
E|Y P <00. Then
X+YpX+Yp
Chapter 6 Solutions
Fundamentals of Biostatistics
Ch. 6.5 - What is the difference between a standard...Ch. 6.5 - What does a 95% CI mean?Ch. 6 - Suppose we are asked to construct a list of...Ch. 6 - Suppose we are asked to construct a list of...Ch. 6 - Suppose we are asked to construct a list of...Ch. 6 - Suppose we are asked to construct a list of...Ch. 6 - The data in Table 6.10 concern the mean triceps...Ch. 6 - The data in Table 6.10 concern the mean triceps...Ch. 6 - The data in Table 6.10 concern the mean triceps...Ch. 6 - The data in Table 6.10 concern the mean triceps...
Ch. 6 - The data in Table 6.10 concern the mean triceps...Ch. 6 - The data in Table 6.10 concern the mean triceps...Ch. 6 - Refer to the data in Table 2.13. Regard this...Ch. 6 - Refer to the data in Table 2.13. Regard this...Ch. 6 - Refer to the data in Table 2.13. Regard this...Ch. 6 - Refer to the data in Table 2.13. Regard this...Ch. 6 - Refer to the data in Table 2.13. Regard this...Ch. 6 - Refer to the data in Table 2.13. Regard this...Ch. 6 - Refer to the data in Table 2.13. Regard this...Ch. 6 - A nine-laboratory cooperative study was performed...Ch. 6 - A nine-laboratory cooperative study was performed...Ch. 6 - A nine-laboratory cooperative study was performed...Ch. 6 - A nine-laboratory cooperative study was performed...Ch. 6 - A nine-laboratory cooperative study was performed...Ch. 6 - A study of psychological and physiological health...Ch. 6 - A study of psychological and physiological health...Ch. 6 - A study is conducted to test the hypothesis that...Ch. 6 - A study is conducted to test the hypothesis that...Ch. 6 - Suppose a clinical trial is conducted to test the...Ch. 6 - Suppose a clinical trial is conducted to test the...Ch. 6 - Suppose a clinical trial is conducted to test the...Ch. 6 - Suppose we want to estimate the concentration...Ch. 6 - Suppose we want to estimate the concentration...Ch. 6 - Suppose we want to estimate the concentration...Ch. 6 - Much discussion has taken place concerning...Ch. 6 - Much discussion has taken place concerning...Ch. 6 - Much discussion has taken place concerning...Ch. 6 - A new assay is developed to obtain the...Ch. 6 - A new assay is developed to obtain the...Ch. 6 - A new assay is developed to obtain the...Ch. 6 - A new assay is developed to obtain the...Ch. 6 - Suppose 100 hypertensive people are given an...Ch. 6 - Suppose 100 hypertensive people are given an...Ch. 6 - Suppose 100 hypertensive people are given an...Ch. 6 - Suppose we decide a better measure of the...Ch. 6 - Suppose we decide a better measure of the...Ch. 6 - Suppose we decide a better measure of the...Ch. 6 - Suppose we decide a better measure of the...Ch. 6 - Draw six random samples of size 5 from the data in...Ch. 6 - Draw six random samples of size 5 from the data in...Ch. 6 - Draw six random samples of size 5 from the data in...Ch. 6 - Draw six random samples of size 5 from the data in...Ch. 6 - Draw six random samples of size 5 from the data in...Ch. 6 - Figure 6.4b (p. 172) plotted the sampling...Ch. 6 - Figure 6.4b (p. 172) plotted the sampling...Ch. 6 - Figure 6.4b (p. 172) plotted the sampling...Ch. 6 - Figure 6.4b (p. 172) plotted the sampling...Ch. 6 - The etiology of high blood pressure remains a...Ch. 6 - The etiology of high blood pressure remains a...Ch. 6 - The etiology of high blood pressure remains a...Ch. 6 - Data Set SEXRAT.DAT, at www.cengagebrain.com,...Ch. 6 - A cohort of hemophiliacs is followed to elicit...Ch. 6 - A cohort of hemophiliacs is followed to elicit...Ch. 6 - A cohort of hemophiliacs is followed to elicit...Ch. 6 - We have previously described Data Set LEAD.DAT (at...Ch. 6 - We have previously described Data Set LEAD.DAT (at...Ch. 6 - We have previously described Data Set LEAD.DAT (at...Ch. 6 - Data Set NIFED.DAT (at www.cengagebrain.com) was...Ch. 6 - Data Set NIFED.DAT (at www.cengagebrain.com) was...Ch. 6 - Data Set NIFED.DAT (at www.cengagebrain.com) was...Ch. 6 - Suppose that there are 6 deaths due to bladder...Ch. 6 - Suppose that there are 4 deaths due to stomach...Ch. 6 - The value of mammography as a screening test for...Ch. 6 - The value of mammography as a screening test for...Ch. 6 - The value of mammography as a screening test for...Ch. 6 - The value of mammography as a screening test for...Ch. 6 - On the computer, draw 1000 bootstrap samples of...Ch. 6 - On the computer, draw 1000 bootstrap samples of...Ch. 6 - A study was performed to investigate the...Ch. 6 - A study was performed to investigate the...Ch. 6 - Refer to Data Set BONEDEN.DAT at...Ch. 6 - Refer to Data Set BONEDEN.DAT at...Ch. 6 - Prob. 88PCh. 6 - Prob. 89PCh. 6 - Prob. 90PCh. 6 - Prob. 91PCh. 6 - Prob. 92PCh. 6 - Prob. 93PCh. 6 - Prob. 94PCh. 6 - Prob. 95PCh. 6 - Prob. 96PCh. 6 - A patient who is taking antihypertensive...Ch. 6 - A patient who is taking antihypertensive...Ch. 6 - A patient who is taking antihypertensive...Ch. 6 - A patient who is taking antihypertensive...Ch. 6 - A patient who is taking antihypertensive...Ch. 6 - Injuries are common in football and may be related...Ch. 6 - Injuries are common in football and may be related...Ch. 6 - A hypertensive patient has been on...Ch. 6 - A hypertensive patient has been on...Ch. 6 - A hypertensive patient has been on...Ch. 6 - A hypertensive patient has been on...Ch. 6 - A radiologist investigates whether a new (less...Ch. 6 - A radiologist investigates whether a new (less...Ch. 6 - The estimation of allele probabilities is...Ch. 6 - The estimation of allele probabilities is...Ch. 6 - The estimation of allele probabilities is...Ch. 6 - As an experiment, 10,000 people are completely...Ch. 6 - As an experiment, 10,000 people are completely...Ch. 6 - Which of the following sample results yields a 95%...Ch. 6 - Suppose we observe 30 cases of colon cancer over...
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