Question: Commuting Times. The Bureau of the Census reports that the average commuting time of citizens of Baltimore, Maryland and Miami, Florida, is approximately 29 minutes. To see if their commuting times appear to be any different in the winter, random samples of 40 drivers were surveyed in each city and the average commuting time for the month of January was calculated for both cities. The results are provided below. At the 0.05 level of significance, can it be concluded that the commuting times are different in the winter?

Miami Baltimore

Sample size 40 40

Sample mean 28.5 min 35.2 min

Population standard deviation 7.2 min 9.1 min