A 1992 article in the Journal of the American Medical Association (?A Critical Appraisal of
98.6 Degrees F, the Upper Limit of the Normal Body Temperature, and Other Legacies of
Carl Reinhold August Wunderlich?) reported body temperature, gender, and heart rate for a
number of subjects. The body temperatures for 25 female subjects follow: (15 points)
97.8, 97.2, 97.4, 97.6, 97.8, 97.9, 98.0, 98.0, 98.0, 98.1, 98.2, 98.3, 98.3, 98.4, 98.4, 98.4,
98.5, 98.6, 98.6, 98.7, 98.8, 98.8, 98.9, 98.9, and 99.0.
a) Test the hypothesis : = 98.6 versus : ? 98.6, using = 0.05. Find the P-value.
b) Check the assumption that female body temperature is normally distributed.
c) Explain how the question in part (a) could be answered by constructing a two-sided
confidence interval on the mean female body temperature.