Assume that human body temperatures are normally distributed with a mean of 98. 23 F and a standard deviation of 0. 64 F.
a. A hospital uses 100. 6 F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of is appropriate?
b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5. 0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick. )