According to Labor Department statistics, the average U.S. work week shortened from 39 hours in the 1950s and early 1960s to 35 hours in the 1990s. Assume the two statistics are based on independent t samples of 2,500 workers each, and the standard deviations are both 2 hours.
a. Test for significance of change.
b. Give a 95% confidence interval for the difference.