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

Algebra.Com
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.
Please help!!

Answer by Boreal(15235)   (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.

RELATED QUESTIONS

2. Assume the body temperatures of healthy adults are normally distributed with a mean... (answered by stanbon)
2. Assume the body temperatures of healthy adults are normally distributed with a mean of (answered by stanbon)
2. Assume the body temperatures of healthy adults are normally distributed with a mean of (answered by Fombitz)
2. Assume the body temperatures of healthy adults are normally distributed with a mean of (answered by ladun6)
2. Assume the body temperatures of healthy adults are normally distributed with a mean of (answered by stanbon)
The normal body temperature of a dog is 38.6 degrees C. Does your dog have a fever if her (answered by rfer)
Assume that human body temperatures are normally distributed with a mean of 98.20 degrees (answered by ikleyn)
Considering the fact that under specific physical/chemical conditions, water freezes at... (answered by josgarithmetic)
Bellevue Hospital in New York City uses 100.6 °F as the lowest temperature considered to... (answered by stanbon)