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?

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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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