$3.$ In $2005,1,465,600$ students heading to college took the SAT. The distribution of scores in the math section of the SAT follows a normal distribution with mean u$=523$ and standard deviation $0=116.$

a$)$ Calculate the z$-$satistics for an SAT score of $710.$

Interpret it using a complete sentence.

b$)$ What math SAT score is $1\mathrm{.}5$ standard deviations above the mean?

c$)$ For $2014,$ the SAT math test had a mean of $516$ and standard deviation $115.$ The ACT math test is an alternate to the SAT and is approximately normally distributed with mean $22$ and standard deviation $5\mathrm{.}5.$ If one person took the SAT math test and scored $700$ and a second person took the ACT math test and scored $30,$ who did better with respect to the test they took?