Normal Temperatures In the Exercise, Allen Shoemaker derived a distribution of human body temperatures, which has a distinct mound-shape.9 Suppose we assume that the temperatures of healthy humans is...

Normal Temperatures
In the Exercise, Allen Shoemaker derived a distribution of human body temperatures, which has a distinct mound-shape.9 Suppose we assume that the temperatures of healthy humans is approximately normal with a mean of 98.6 degrees and a standard deviation of 0.8 degrees.

a. If a healthy person is selected at random, what is the probability that the person has a temperature above 99.0 degrees?

b. What is the 95th percentile for the body temperatures of healthy humans?

Exercise:

What’s Normal?
What’s Normal? The 98.6 degree standard for human body temperature was derived by a German doctor in 1868. In an attempt to verify his claim, Mackowiak, Wasserman, and Levine21 took temperatures from 148 healthy people over a three-day period. A data set closely matching the one in Mackowiak’s article was derived by Allen Shoemaker, and appears in the Journal of Statistics Education.²²
The body temperatures for these 130 individuals are shown in the relative frequency histogram that follows.