A 1992 article in the Journal of the American Medical
Chapter 9, Problem 63E(choose chapter or problem)
A 1992 article in the Journal of the American Medical Association ("A Critical Appraisal of Degrees , 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: ,
98.4, , and
(a) Test the hypothesis \(H_0:\ \mu=98.6\) versus \(H_1:\ \mu\ne98.6\), using \(\alpha=0.05\). Find the -value.
(b) Check the assumption that female body temperature is normally distributed.
(c) Compute the power of the test if the true mean female body temperature is as low as .
(d) What sample size would be required to detect a true mean female body temperature as low as if you wanted the power of the test to be at least ?
(e) Explain how the question in part (a) could be answered by constructing a two-sided confidence interval on the mean female body temperature.
Equation Transcription:
Text Transcription:
H_0:=98.6
H_1:98.6
alpha=0.05
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