A1992 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 wundrlich") reported body temperature, gender, and heart rate for a number of subjects. the temperatures for 25 female subjects follow: 97.5 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
a)test the hypotheses h0: µ = 98.6 versus ha µ≠ 98.6 using α= 0.05. find the p-value.
b)compute type ii error β if the true mean female body temperature is as low as 98.0.
c)what sample size would be required to detect a true mean female body temperature as low as 98.2 if we wanted β to be 0.1?
d)is there evidence to support the assumption that female body temperature is normally distributed? 98.9 99.0.