You have a student, Martina, entering your school from another state. You need to know which math class you should place her in. The scores you normally use are SAT scores (mean=500 and standard deviation=100). The rules you use for placement are:

700-800 Calculus

500-699 Trigonometry

300-499 Geometry

100-299 Algebra

However, this student did not take the SAT, but instead took the AAT. Scores for the AAT are reported with a mean of 80 and a standard deviation of 8. Martina received a raw score of 84 on the math portion of the AAT. Convert her scores to a metric so that they are comparable to SAT scores, then decide in which math class Martina should be placed.

Please give me some direction. What formula do I use to compute which level is .5 standard deviations above the mean.

Thanks for your help,

latonya