EBK FUNDAMENTALS OF BIOSTATISTICS
8th Edition
ISBN: 9781305465510
Author: Rosner
Publisher: YUZU
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Chapter 6, Problem 79P
The value of mammography as a screening test for breast cancer has been controversial, particularly among young women. A study was recently performed looking at the rate of false positives for repeated screening mammograms among approximately 10,000 women who were members of Harvard Pilgrim Health Care, a large health-maintenance organization in New England [9].
The study reported that of a total of 1996 tests given to 40- to 49-year-old women, 156 yielded false-positive results.
Suppose a woman is given a mammogram every 2 years starting at age 40. What is the
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26. A certain system can experience three different types of defects. Let A;(i = 1,2,3) denote the event that the sys- tem has a defect of type i. Suppose thatP(A1) = .12 P(A) = .07 P(A) = .05P(A, U A2) = .13P(A, U A3) = .14P(A2 U A3) = .10P(A, A2 A3) = .011Rshelfa. What is the probability that the system does not havea type 1 defect?b. What is the probability that the system has both type 1 and type 2 defects?c. What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? d. What is the probability that the system has at most two of these defects?
The following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)
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Chapter 6 Solutions
EBK 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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- 20 km, because GISS Worksheet 10 Jesse runs a small business selling and delivering mealie meal to the spaza shops. He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of mealle meal he delivers. The table below helps him to calculate what to charge his customers. 10 20 30 40 50 Packets of mealie meal (m) Total costs in Rands 80 235 390 545 700 855 (c) 10.1. Define the following terms: 10.1.1. Independent Variables 10.1.2. Dependent Variables 10.2. 10.3. 10.4. 10.5. Determine the independent and dependent variables. Are the variables in this scenario discrete or continuous values? Explain What shape do you expect the graph to be? Why? Draw a graph on the graph provided to represent the information in the table above. TOTAL COST OF PACKETS OF MEALIE MEAL 900 800 700 600 COST (R) 500 400 300 200 100 0 10 20 30 40 60 NUMBER OF PACKETS OF MEALIE MEALarrow_forwardLet X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).arrow_forwardA well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward
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