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...


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.)
Jun 10, 2022
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