A study done at the University of Maryland (cited in Weiss, Introductory Statistics, 7th ed, 2005) measured the body temperatures of 93 healthy humans. On the frequency- histogram below, I have superimposed a normal probability-density curve using the sample's mean and standard deviation (98.12^{o}F and 0.6468 ^{o}F respectively)
a) Construct a 99% confidence interval for the mean temperature of all healthy humans.
b) Interpret your interval in words.
c) Draw this confidence interval in the space between the histogram and the boxplot on the next page. Indicate both this sample's mean, and the previously accepted value of 98.6^{o}F.
d) You must now make a decision: the mean human-body- temperature is, or is not, 98.6oF. Which decision do you make? Briefly explain.