Question: According to the Census Bureau's 2002 American Community Survey, the average travel time to work of workers 16 years and over living in Boston, MA, who did not work at home, was 28.2 minutes with a standard deviation of 0.79 minutes. Suppose that the population is normally distributed.

(a) What is the probability that a commute time chosen at random is more than 29 minutes.

(b) Suppose a sample of 35 commute times were taken and a mean time was calculated. Describe the sampling distribution of samples means.

(c) What is the probability that the mean time from a sample of 35 is more than 29 minutes?