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.