I am having a debate and need to prove to my friend that if the mean weight, m, of the population of adult NBA basketballs players in the U.S. is 145 lbs, with s = 15 lbs.Furthermore, imagine if the mean weight of a random sample of 16 college basketballs players is 135 lbs.Does the mean for the population of college players differ significantly from the mean for the population of NBA players in the U.S.?(Assuming s = 15 lbs for college ballers.)

1) Will the null hypothesis be rejected with a = .05?What equation do I have to use?

2) Based on this statistical test (with a = .05), what can I conclude about the

weight of college players relative to the NBA population in the U.S.?

3) Just how small of a sample would I need to decide (with a = .05) that the observed mean weight for college players (i.e., = 135 lbs) differs reliably from the mean for the population of NBA players (i.e., m = 145 lbs)?