Question

Assume that human body temperatures are normally distributed with a mean of

98.22°F

and a standard deviation of

0.64°F.

a. A hospital 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? Does this percentage suggest that a cutoff of

100.6°F

is​ appropriate?

b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature​ be, if we want only​ 5.0% of healthy people to exceed​ it? (Such a result is a false​ positive, meaning that the test result is​ positive, but the subject is not really​ sick.)

Answer 1

Given :

Assume that human body temperatures are normally distributed with a mean of 98.22°F and a standard deviation of 0.64°F.

Mean = = 98.22

Standard deviation = = 0.64

Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.

Which is the required temperature.