8.40 What's Normal? What is normal, when it comes to people's body temperatures? A random sample of 130 human body temperatures, provided by Allen Shoemaker in the Journal of Statistical Edu- cation, had a mean of 36.81 Celsius and a standard deviation of 0.73.

a. Construct a 99% confidence interval for the average body temperature of healthy people.

b. Does the confidence interval constructed in part a contain the value 37 C, the usual average tempera- ture cited by physicians and others? If not, what conclusions can you draw?