Assume that human body temperatures are normally distributed with a mean of 98.23 degrees Upper F and a standard deviation of 0.63 degrees Upper F. A hospital uses 100.6 degrees Upper F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a​ fever? Does this percentage suggest that a cutoff of 100.6 degrees Upper F is​ appropriate?

Question
Asked Oct 1, 2019
Assume that human body temperatures are normally distributed with a mean of 98.23 degrees Upper F and a standard deviation of 0.63 degrees Upper F. A hospital uses 100.6 degrees Upper F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a​ fever? Does this percentage suggest that a cutoff of 100.6 degrees Upper F is​ appropriate?
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Expert Answer

Step 1

It is given that human body temperatures follows normal distribution with mean of 98.23 and standard deviation of 0.63, respectively.

Step 2

The required percentage is ...

100.6-98.23
Z =
0.63
2.37
Z =
0.63
=3.76
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100.6-98.23 Z = 0.63 2.37 Z = 0.63 =3.76

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