Find percentile

Question

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $43,000 and a standard deviation of $6,100. We randomly survey 10 teachers from that district.

Find the 70th percentile for the average teachers' salary. (Round your answer to the nearest whole number.)

Answer 1

70th %ile has 30% higher, 20% above the average or mean

use z tables to get z=.524

it's z score= (x-43000)/6100= .524

x= 6100(.524)+43000

x= $46,196.40= 70th %ile salary

=$46,196

rounded to nearest whole dollar