that human body temperatures are normally distributed with a mean of 98.19 F and
ID: 3048086 • Letter: T
Question
that human body temperatures are normally distributed with a mean of 98.19 F and a standard deviation of 0.63 A hosptal 100 8 F as the lowest tomperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a ggest that a cutoff of 100.8 F is appropriate? b Physidiara want to select a mirnimum temperabure se postive, meaning that the test result is positive, but the subject is not really sick.) sue fever? Does this pancon turo for requiring further medical tests. What should that temperaturo berwewant only 50% ofhealthy people to emed r,Such anon a. The percentage of normal and healthy persons considered to have a fever is Round to two decirmal places as needed.)Explanation / Answer
a)
Z = (x – u)/ std. deviation
Here, x = 100.6, u = 98.19, std. deviation = 0.63
Thus, Z = (100.6-98.19)/0.63
= 3.83
Thus, P(detecting fever) = P(x>100.6)
= P(z > 3.83)
= 0.00006
= 0.006% rounding off to 2 decimal percent indicated 0.01%
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