Question

The mean height of male college students in a large city is 68 inches and the standard deviation is 5 inches. What height would a male college student must have in order for the student's height to be the cutoff point for the 95th percentile? (What is the lowest height in the top 5%?)

Answer 1

Let X be the random variable of height male college student

given

let Xo be higth of male college students must have in order for student's heigth to br the cutoff point for

the 95th percentile

P(X<Xo)= 0. 95

-----------------------------------------1

from table we have

P(Z<1.6449)=.95 --------------------------------------------------------------2

comapring 1 &2

we get

Xo=76.2245 -----------------------ans

the higth would a male college student mudt have in oreder for student's height to be cutoff point for 95 th percentile

is 76.2245