Assume that human body temperatures are normally distributed with a mean of 98.19°F and a standard deviation of 0.62°F. a. A hospital uses 100.6°F as the lowest temperature considered to be a fever....

Assume that human body temperatures are normally distributed with a mean of
98.19°F
and a standard deviation of
0.62°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.)

a. The percentage of normal and healthy persons considered to have a fever is __​%.

​(Round to two decimal places as​ needed.)

Does this percentage suggest that a cutoff of
100.6°F
is appropriate?

b. The minimum temperature for requiring further medical tests should be ___°F
if we want only​ 5.0% of healthy people to exceed it.

​(Round to two decimal places as​ needed.)