Body Temperatures Based on the sample results in Data Set 3 in the Appendix: Data Sets, assume that human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F.

a. Bellevue Hospital in New York City 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 100.6°F 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.)