The distance from a college to a students home follows a right skewed distribution with a mean if 15 miles and a standard deviation of 8 miles.
a. find the probability that the mean distance from college to a students home for a random sample of 50 college students is more than 18 miles
b. for this sample of 50 students, find the probability that their distance from college to home is between 14 & 17 miles.
c. What is the shape of the sampling distribution if a random sample of 10 students was selected instead of 50? can you determine the mean or standard deviation of this new sampling distribution? if so what are they? if not, why not?