In a study, serum cholesterol levels were measured for a large number of healthy males. The population was then followed for 16 years. Afterwards the men were divided into two groups: those who had developed coronary heart disease and those who had not. The distributions of the initial serum cholesterol levels for each group were found to be approximately normal. Among individuals who eventually developed coronary heart disease, the mean serum cholesterol level was 249 mg/100 ml with the standard deviation of 44 mg/100 ml; for those who did not develop the disease, the mean serum cholesterol level was 207 mg/100 ml with the standard deviation of 26 mg/100 ml.

Suppose that an initial serum cholesterol level of 260 mg/100 ml or higher is used to predict coronary heart disease.

a) What is the probability of predicting heart disease for a man who will not develop it (i.e. the probability of false positive)?

b) What is the probability of failing to predict heart disease for a man who will develop it (i.e. the probability of false negative)?

Solution Preview

Hi there,

Thanks for allowing me to work on your question. Here is my solution:

a)The probability of ...

Solution Summary

This solution provides an example how to use z value to find the probability.

... 4. Use standard normal distribution table (Appendix Table II) to find the probability that z is between -1.5 and 1.5: P(-1.5 < z < 1.5) =P(z<1.5)-P(z...

Expected Value. ... Please see the attachment. This solution gives the step by step method for computing probabilities based on Z score. Statistics 5. ...

... Step by step method for computing probability based on z score is given in the answer. Supplementary Practice Questions *These questions will help prepare you ...

... 20 Y Value 20 Z Value -2.2 Z Value -1.583333 P ... Thus probability of scoring below 20% is high for ... Step by step method for computing Probabilities based on normal ...

... Margin of error=1.96*3.9/sqrt(175)=0.6 The 95% confidence ... The solution provides detailed explanation how to solve z score based probability and find the ...

... symmetric about 0. Hence P(Z<-0.71)=P(Z>0.71)=0.2389. ... 4) based on the talk on question 5, we use subject ... contains n units, then each unit has a probability of 1 ...

...Based on this information, what is the probability of a student ... Answer P(X>1400)= P(Z>(1400-950)/220)=P(Z>2.05)=0.0202. 0.0202 0.5207 0.4798 0.9798. 1 points. ...