HELP!! At a large state university, the heights of male students who are interscholastic athletes is approximately normally distributed with a mean of 74.3 inches and a standard deviation of 3.5 inches. The heights of male students who don't play interscholastic sports is approximately normally distributed with a mean of 70.3 inches and a standard deviation of 3.2 inches. You select an SRS of 10 interscholastic athletes and 12 non-interscholastics. What is the probability that the sample mean of non-interscholastics is greater than the sample mean of interscholastic athletes?

a. nearly 0 b. .0027 c. .0035 d. .9965 e. .9973

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