Suppose that the average waiting time to vote during an election in Massachusetts is = 11 minutes and that the standard deviation is s = 20 minutes.

(a) How can you tell that the distribution of wait time is not normal? Do you think that the distribution is left skewed or right skewed? Explain.

(b) Suppose we were to select a random sample of size n voters. Call the average wait time to vote in the sample. Compute SD() if (i) n = 10, (ii) n = 100, and (iii) n = 1,000.

Write a sentence explaining how the value for SD() changes as n increases.

(c) You may assume that n = 100 is large enough in this case for the CLT to apply. Compute the probability that in a random sample of 100 voters, the average wait time exceeds 15 minutes.