Question: The distribution ages for students at the state college is positively skewed with a mean of = 21.5 and a standard deviation of

The distribution ages for students at the state college is positively skewed with a mean of µ = 21.5 and a standard deviation of σ = 3.
a. What is the probability of selecting a random sample of n = 4 students with an average age greater than 23? (Careful: This is a trick question.)
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 age is between 21 and 22?

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