For students who graduated from high school in 2013, their SAT math scores are approximately normally distributed with a mean of 514 points and a standard deviation of 118 points. Their ACT math scores are approximately normally distributed with mean 20.9 points and standard deviation 5.3 points.
a. A student who graduated from a high school in Texas in 2013 scored 765 points on the math sections of the SAT. Is that an unusual score? Explain.
b. A student who graduated from high school in Florida in 2013 scored 33 points on the math sections of the ACT. Is that an unusual score? Explain.
c. Which student performed better on the math sections of their test, the student from Texas or Florida? Explain.