The bureau of the census reports that the average commuting time for citizens of both 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 0.0.05 levelof 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 7.2 min 9.1 mintes
deviation
Perform each of the following steps
a. State the hypotheses and identify the claim
b. Find the critical value(s)
C. Compute the test value
d. Make the decision
e. Summarize the results
Use the traditional method of hypothesis testingunless otherwise specified.