## The Normal Distribution: Exercise #5

**Objective:**

**Problem Description** A proposal before the Montana Board of
Education has specified certain designations for elementary schools
depending on how their students do on the Montana Evaluation of
Scholastic Scoring. This test is given to all students in all public
schools in grades 2 through 4. Schools that score in the top 20% are
labelled excellent. Schools in the bottom 25% are labelled "in
danger" and schools in the bottom 5% are designated as
failing. Previous data suggests that the mean for all schools that
take the Montana Evaluation of Scholastic Scoring is 75 with a
standard deviation of 5.

The following normal Java applet displays the
probabilities of a normal random variable, *X*, initially with
a mean of 75 and a standard deviation of 5. You will need to
change the standard deviation for question #5.