Suppose SAT math scores are normally distributed with a mean of 516 and a standard deviation of 115 while ACT math scores have a Normal distribution with a mean of 22
and a standard deviation of 5. Anna scored 650 on the SAT math and Bob scored 29
on the ACT math. Assuming that both tests measure the same kind of ability, who did
better in terms of the standardized z-score?
a. Anna
b. Bob
c. They did relatively the same
d. Impossible to tell because of the scaling.