In: Statistics and Probability
The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.60° F. If 36 adults are randomly selected, find the probability that their mean body temperature is greater than 98.8° F. Hint: You will need to use the sampling distribution of the sample mean. 0.8188 0.9772 0.9360 0.0228
Solution :
Given that ,
mean =
= 98.6
standard deviation =
= 0.60
n = 36
= 98.6
=
/
n = 0.60 /
36 = 0.1
P( >98.8 ) = 1 - P(
<98.8 )
= 1 - P[(
-
) /
< (98.8-98.6) /0.1 ]
= 1 - P(z <2 )
Using z table
= 1 - 0.9772
= 0.0228
probability= 0.0228