With a nationwide average drive time of about 24.3 minutes, Americans now spend more than 100 hours a year commuting to work, according to the U.S. Census Bureau’s American Community Survey. Yes, that’s more than the average 2 weeks of vacation time (80 hours) taken by many workers during a year.

Source: http://usgovinfo.about.com/od/censusandstatistics/

a/commutetimes.htm A random sample of 150 workers at a large nearby industry was polled about their commute time. If the standard deviation is known to be 10.7 minutes, is the resulting sample mean of 21.7 minutes significantly lower than the nationwide average?

Use   0.01.

a. Solve using the p-value approach.

b. Solve using the classical approach.