Body temperatures Most people think that the normal adult body temperature is 98.6F

Chapter 5, Problem 48

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Most people think that the “normal” adult body temperature is \(98.6^{\circ} \mathrm{F}\). That figure, based on a 19th-century study, has recently been challenged. In a 1992 article in the Journal of the American Medical Association, researchers reported that a more accurate figure may be \(98.2^{\circ} \mathrm{F}\). Furthermore, the standard deviation appeared to be around \(0.7^{\circ} \mathrm{F}\). Assume that a Normal model is appropriate.

a) In what interval would you expect most people's body temperatures to be? Explain.

b) What fraction of people would be expected to have body temperatures above \(98.6^{\circ} \mathrm{F}\)?

c) Below what body temperatures are the coolest 20% of all people?

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