Question 8 of 14 1 point A normal population has mean Mu 54

Question 8 of 14 (1 point) A normal population has mean Mu = 54 and standard deviation Sigma= 7. What is the 84th percentile of the population? Use a TI?84 calculator. Round the answer to one decimal place. The 84th percentile of the population is .

Solution

We have to find

P( X < a) =0.84

P( Z < (a-54)/7) )=0.84

From standard normal table

P( Z < 0.9945) =0.84

(a-54)/7= 0.9945

a=0.9945*sigma+mu =

The 84th percentile a= 61.0