Assume that human body temperatures are normally distributed with a mean of 98.22 degrees Upper F and a standard deviation of 0.63 degrees Upper F.
a. 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?
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.)
Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING...
a. The percentage of normal and healthy persons considered to have a fever is
nothing%.
(Round to two decimal places as needed.)
Does this percentage suggest that a cutoff of 100.6 degrees Upper F is appropriate?
A.
No, because there is a large probability that a normal and healthy person would be considered to have a fever.
B.
Yes, because there is a small probability that a normal and healthy person would be considered to have a fever.
C.
Yes, because there is a large probability that a normal and healthy person would be considered to have a fever.
D.
No, because there is a small probability that a normal and healthy person would be considered to have a fever.
b. The minimum temperature for requiring further medical tests should be
nothingdegrees Upper F if we want only 5.0% of healthy people to exceed it.
(Round to two decimal places as needed.)