Assume that human body temperatures are normally distributed with a mean of 98.2

Question

Assume that human body temperatures are normally distributed with a mean of 98.21 degree F and a standard deviation of 0.84 degree F. a. A hospital uses 100.6 degree 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 degree 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 best 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.)

Explanation / Answer

1a. given x = 100.6

mean =98.21

standard deviation = 0.64

z = ( x - ) / = (100.6-98.21/0.64)= 3.7344
P (100.6000 < x) = P (3.7344 < z) = 0.0001

So the percentage of normal and healthy persons considered to have a fever = 0.0001*100% = 0.01%

1b.) 99.2627
z = ( x - ) / = 1.6448
P (99.2627 < x) = P (1.6448 < z) = 0.0500

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---