Students A and B took tests on probability in two different sections of prestatistics. Student A scored 89 points on a test with mean 74 points and standard deviation 7 points. Student B scored 78 points on a test with mean 66 points and standard deviation 4 points.
a. Find the z-score for Student A’s test score. What does it mean in this situation?
b. Find the z-score for Student B’s test score. What does it mean in this situation?
c. Which student did relatively better? Explain.