The distribution ages for students at the state college is positively skewed with a mean of 21.5 and a standard deviation of 3.
a. What is the probablitiy of selecting a random sample of n=4 students with an average greater than 23 ?
b. What is the probability of selecting a random sample of n=36 students with an average age greater than 23?
c. For a sample of n=36 students what is the probability that the average is between 21 and 22?