SOLUTION: A fever is any body temperature above the mean temperature, in practice a person is usually not considered to have a significant fever until the temperature is above 100.4 degrees

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Question 1103767: A fever is any body temperature above the mean temperature, in practice a person is usually not considered to have a significant fever until the temperature is above 100.4 degrees Fahrenheit. Suppose that the body temperatures of healthy adults in a certain population vary according to a Normal distribution with mean 98.24 degrees Fahrenheit and standard deviation 2.16 degrees Fahrenheit. About what percent of the population is considered to have significant fever ? Round your answer to the nearest integer.
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Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
z>(100.4-98.24)/2.16
z>2.16/2.16=1
This is 16% probability (0.1587)
Work: Significant fever is a temperature above 100.4 F. The mean is given as 98.24 F. and the SD 2.16 F.
A person will have a significant fever if their temperature is 1 SD above the mean, since 98.24+2.16=100.4.
1 SD above the mean or greater has a probability of 0.1587. This is 15.87% and rounds to 16% as the nearest integer.