Most people think that the \"normal\" adult body temperature s 98.6°F. That figu

Question

Most people think that the "normal" adult body temperature s 98.6°F. That figure, based on a 19th-century study, has been challenged. In a 1992 article in the Journal of American Medical Association, researchers reported that a more accurate figure may be 98.2 with a standard deviation around 0.7 F. Assume that adult body temperatures are normally distributed. Use this information for the following four questions 7.What is the probability that a randomly selected adult will have a body temperature of 98.6°F exactly? ANS: 8. What is the probability that a randomly selected adu will have a body temperature above 99.0°F? ANS: 9 What is the 10h Percentile for body temperatures? ANS: 10. What is the median body temperature?

Explanation / Answer

= 98.2

= 0.7

7) P(X = 98.6) = 0. Because, exact probability for continous distribution is always zero.

8) P(X > 99) = P(Z > (99 - 98.2) / 0.7)

                     = P(Z > 1.14)

                     = 1 - P(Z < 1.14)

                     = 1 - 0.8729

                     = 0.1271

9) P(X < x) = 0.1

or, P(Z < (x - 98.2) / 0.7) = 0.1

or, (x - 98.2) / 0.7 = -1.28

o, x = 98.2 - 1.28 * 0.7

or, x = 97.304

10) median = mean = 98.2

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