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Body temperatures Most people think that the “normal”
Chapter 5, Problem 32RE(choose chapter or problem)
Most people think that the “normal” adult body temperature is 98.6°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°F. Furthermore, the standard deviation appeared to be around 0.7°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°F?
c) Below what body temperature are the coolest 20% of all people?
Questions & Answers
QUESTION:
Most people think that the “normal” adult body temperature is 98.6°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°F. Furthermore, the standard deviation appeared to be around 0.7°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°F?
c) Below what body temperature are the coolest 20% of all people?
ANSWER:Step 1 of 4
We know the z-score is the value decreased by the mean and then divided by the standard deviation.
\(z=\frac{x-\bar{x}}{\sigma}\)