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? 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 small probability that a normal and healthy person would be considered to have a fever.   C. ​No, because there is a large 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 ___°F if we want only​ 5.0% of healthy people to exceed it. ​(Round to two decimal places as​ needed.)

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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?
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 small probability that a normal and healthy person would be considered to have a fever.
 
C. ​No, because there is a large 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 ___°F if we want only​ 5.0% of healthy people to exceed it.
​(Round to two decimal places as​ needed.)
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