Assume that human body temperatures are normally distributed with a mean of 98.19 degrees Upper F   and a standard deviation of 0.64 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.)

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

98.19 degrees Upper F
 

and a standard deviation of

0.64 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.)
 
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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.
​Yes, because there is a large probability that a normal and healthy person would be considered to have a fever.
 
B.
​No, because there is a large probability that a normal and healthy person would be considered to have a fever.
 
C.
​No, because there is a small probability that a normal and healthy person would be considered to have a fever.
 
D.
​Yes, 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
nothing

degrees Upper F

 
if we want only​ 5.0% of healthy people to exceed it.
​(Round to two decimal places as​ needed.)
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