In 2005, 1,475,623 students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean = 520 and standard deviation = 115.

For 2012, the SAT math test had a mean of 514 and standard deviation 117. The ACT math test is an alternate to the SAT and is approximately normally distributed with mean 21 and standard deviation 5.3.If one person took the SAT math test and scored 700 and a second person took the ACT math test and scored 30,

a) What is the z score for the SAT score?to 1 decimal place

b) What is the z score for the ACT score?to 2 decimal places

c)Who did better with respect to the test they took? (type ACT or SAT) ?