Assume that human body temperatures are normally distributed with a mean of 36.4 $\circ$ C and a standard deviation of 0.7 $\circ$ C. If we define a fever to be a body temperature above 38.0 $\circ$ C.
(i) 01.1% of normal and healthy persons would be considered to have a fever.
(ii. This suggests that a cut-off of 38.0 $\circ$ C is appropriate.
A) (i) and (ii) are correct statements.
B) (i) is a correct statement but not (ii).
C) (ii) is a correct statement but not (i).
D) (i) and (ii) are false statements.

Question

Assume that human body temperatures are normally distributed with a mean of 36.4 $\circ$ C and a standard deviation of 0.7 $\circ$ C. If we define a fever to be a body temperature above 38.0 $\circ$ C. 
(i) 01.1% of normal and healthy persons would be considered to have a fever.
(ii. This suggests that a cut-off of 38.0 $\circ$ C is appropriate.
A) (i) and (ii) are correct statements.
B) (i) is a correct statement but not (ii).
C) (ii) is a correct statement but not (i).
D) (i) and (ii) are false statements.

Quizplus · Accepted Answer

The cut-off of 38.0°F is appropriate because it is 1.645 standard deviations above the mean, which corresponds to the 95th percentile. This means that only 5% of normal and healthy persons would be considered to have a fever.

Assume That Human Body Temperatures Are Normally Distributed with a Mean