A 1992 article in the Journal of the American Medical Association (\"A Critical

Question

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 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 98.9 99.0 Test the hypothesis H_0: mu = 98.6 versus H_1: mu notequalto 98.6, using alpha = 0.05. Round your answers to three decimal places (e.g. 98.765). (a) Calculate the sample mean and standard deviation. x bar = S = (b) Determine the test statistic t_0.

Explanation / Answer

hence Xbar=98.252

S=0.498

t=-3.497

X 97.5 97.2 97.4 97.6 97.8 97.9 98 98 98 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 99 mean(X) 98.252 std deviation(S) 0.498 std error =S/(n)1/2 0.0995 t=(X-98.6)/std error -3.4968

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