Human body temperatures are normally distributed with a mean of 98.6 and a standard deviation of 0.72.? How do I Find the temperature that separates the top 7% from the bottom 93%?
1 Answer
Mar 3, 2017
Temprature that separates top 7% from the bottom 93% is
Explanation:
Look at the diagram -
Find the probability area bound by 93% or 0.93.
0.5 lies to the left of the mean value.
Find the corresponding
It is 1.48.
Use this value to determine the required
You have to use the formula -
#z=(x-mu)/sigma#
Solve it for
#x=z *sigma + mu#
Where -
#x = ?#
#z=1.48#
#sigma=0.72#
#mu = 98.6#
Plug in these values in the formula-
#x=(1.48*0.72)+98.6 = 1.07+98.6=99.67#
Temprature that separates top 7% from the bottom 93% is