The salaries at a corporation are normally distributed with an average salary of $29,000 and a standard deviation of $4,000. Sixteen percent of the employees make more than Sara. What is Sara's salary? Round your answer to the nearest dollar.

Answer 1

you will need a normal distribution table or chart.
I use this online applet
http://davidmlane.com/hyperstat/z_table.html

Use the second part at the bottom of the page
for mean enter 29000
for Sd enter 4000
in 'shaded' area, enter .16 and click on "above"
or
in 'shaded' area enter .84 and click on "below"

in either case you get
$32977.83 or $32978 to the nearest dollar