Q:

Let’s assume that human body temperatures are normally distributed with a mean of 98.20° F and a standard deviation of 0.62° F. Bellevue Hospital in New York City uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Please answer using a percentage and not a probability.

Accepted Solution

A:
Answer: It is such a small percentage of the population that would be considered to have fever at that level.So, it is not appropriate stringent standard.Step-by-step explanation:Since we have given that Mean = 98.20°FStandard deviation = 0.62°FIf  Bellevue Hospital in New York City uses 100.6°F as the lowest temperature considered to be a fever.So, [tex]\bar{X}=100.6^\circ F[/tex]So, using the normal distribution, we first find the value of z.[tex]z=\dfrac{\bar{x}-\mu}{\sigma}\\\\x=\dfrac{100.6-98.2}{0.62}\\\\z=3.87[/tex]Since z = 3.87So, p = 0.0001 =0.1%So,It is such a small percentage of the population that would be considered to have fever at that level.So, it is not appropriate stringent standard.