In: Statistics and Probability
The body temperature of adults is normally distributed with a mean of 98.6°F and standard deviation of 0.60°F. Suppose 36 adults are randomly selected, what is the probability that their mean body temperature is less than 98.0°F? |
Solution :
Given that ,
mean =
= 98.6
standard deviation =
= 0.60
n = 36
= 98.6
=
/
n = 0.60 /
36=0.1
P(
< 98.0) = P[(
-
) /
< (98.0-98.6) / 0.1]
= P(z <-6 )
Using z table
= 0.0000
probability= 0.0000