5. In the Framingham Study, serum cholesterol levels were measured for a large number of healthy males. Thepopulation was then followed for 16 years. At the end of this time, the men were divided into two groups:those who had developed coronary heart disease and those who had not. The distributions of the initialserum cholesterol levels for each group were found to be approximately normal. Among individuals whoeventually developed coronary heart disease, the mean serum cholesterol level was µd = 242 mg/100 ml andthe standard deviation was od = 50 mg/100 ml; for those who did not develop the disease, the mean serumcholesterol level was µnd = 215 mg/100 ml and the standard deviation was o nd = 41 mg/100 ml.(a) Suppose that an initial serum cholesterol level of 260 mg/100 ml or higher is used to predict coronaryheart disease. What is the probability of correctly predicting heart disease for a man who will developit?(b) What is the probability of predicting heart disease for a man who will not develop it?· a(c) What is the probability of failing to predict heart disease for a man who will develop it?(d) What would happen to the probabilities of false positive and false negative errors if the cutoff point forpredicting heart disease is lowered to 250 mg/100 ml?(e) In this population, does initial serum cholesterol level appear to be useful for predicting coronary heartdisease? Why or why not?

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Answered: 5. In the Framingham Study, serum…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The accompanying data were read from a plot (and are a subset of the complete data set) given in an article. The data represent the mean response times for a group of individuals with closed-head injury (CHI) and a matched control group without head injury on 10 different tasks. Each observation was based on a different study, and used different subjects, so it is reasonable to assume that the observations are independent. Study 1 y= 2 3 4 5 6 7 8 9 10 Mean Response Time CHI Control 250 360 475 525 610 740 880 920 1010 1200 304 492 432 659 683 922 1044 1421 1329 1481 1815 (a) Fit a linear regression model that would allow you to predict the mean response time for those suffering a closed-head injury from the mean response time on the same task for individuals with no head injury. (Round your answers to four decimal places.) (b) Do the sample data support the hypothesis that there is a useful linear relationship between the mean response time for individuals with no head injury and the…
Past records suggest that the mean annual income, µ,, of teachers in state of New York is less than or equal to the mean annual income, µ,, of teachers in Illinois. In a current study, a random sample of 15 teachers from New York and an independent random sample of 15 teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows: Annual income in dollars New York 46406, 43039, 47083, 47056, 46810, 47074, 43524, 59524, 49763, 48083, 46100, 53904, 43171, 44341, 52229 Illinois 53010, 43485, 39037, 47622, 47151, 50372, 41401, 35007, 40591, 49268, 44782, 39668, 52555, 49976, 49207 The population standard deviation for mean annual income of teachers in New York and in Illinois are estimated as 6600 and 6200, respectively. It is also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of New York is…
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