At a large state university, the heights of male students who are…

At a large state university, the heights of male students who are interscholastic athletes is approximately Normally distributed with a mean of
inches and a standard deviation of
inches. The heights of male students who don’t play interscholastic sports (we’ll call them “non-interscholastic”) is approximately Normally distributed with a mean of
inches and a standard deviation of
inches. You select an SRS of 10 interscholastic athletes and 12 non-interscholastic. What is the probability that the sample mean of non-interscholastic is greater than the sample mean of interscholastic athletes?
a. nearly 0
b.
c.
d.
e.