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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