Over the past few years 225 students enrolled in sections of ECON 1130 I've taught have completed the final test of three tests administered in that course. The overall mean is 81.2 with a standard deviation of 8.7. These data are nearly normal in distribution; given this, answer the following questions :

(a) What is the percentile rank for a student with a score of 85.3?

(b) What is the raw test 3 score for a student with a z score of -1.5?