A survey in theN.Y. Times Almanacfinds the mean commute time (one way) is 25.4 minutes for the 15 largest US cities. The chamber of commerce in a city feels that their commute time is less and wants to publicize this fact. The mean for 25 randomly selected commuters is22.7minutes with a standard deviation of 5.3 minutes. At the= 0.10level, is the city's commute significantly less than the mean commute time for the 15 largest US cities? Note: If you are using a Student'st-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)