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statistics and probability – RoyalCustomEssays

statistics and probability

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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.

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