In a 1992 article in the Journal of the American Medical Association, researchers reported that a more accurate average body temperature for adults is 98.2°F with a standard deviation of 0.7°F. Assume that a Normal model is appropriate N(98.2, 0.7). The middle 60% of N(0,1) is between -0.842 and 0.842 What adult body temperature is at the 80th percentile?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
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In a 1992 article in the Journal of the American Medical Association, researchers reported that a more accurate average body temperature for adults is 98.2°F with a standard deviation of 0.7°F. Assume that a Normal model is appropriate N(98.2, 0.7).

The middle 60% of N(0,1) is between -0.842 and 0.842

What adult body temperature is at the 80th percentile? 

Expert Solution
Step 1: Given information

Here, X be the adult body temperature, and it follows a normal distribution.

Mean: mu equals 98.2 space scriptbase text F end text end scriptbase presuperscript 0

Standard deviation: sigma equals 0.7 space scriptbase text F end text end scriptbase presuperscript 0

X tilde N open parentheses mu equals 98.2 comma space sigma equals 0.7 close parentheses

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ISBN:
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