Q:

The board of examiners that administers the real estate broker examination in a certain state found that the mean score on the test was 426 and the standard deviation was 72. If the board wants to set the passing score so that only the best 80%of all applicants pass, what is the passing score? assume tht the score are normally distributed. Draw the normal curve, label and shade the area.

Accepted Solution

A:
z-score for 80% to pass = -0.842.
[tex]-0.842=\frac{X-426}{72}[/tex]
-60.624 = X - 426
X = 426 - 60.624
X = 365
Therefore the required passing score is 365.