A new bus route has been established between downtown Denver and Englewood, a suburb of Denver. Dan has taken the bus to work for many years. For the old bus route, he knows from long experience that the mean waiting time between buses at his stop was µ =18.3 minutes. However, a random sample of 30 waiting times between buses using the new route had mean x = 15.1 minutes with sample standard deviation s = 6.2 minutes. Use a level of significance of 0.05. Does this indicate that the population mean waiting time for the new route is less than it used to be?

A) State the null and alternative hypotheses.

B) If the null hypothesis is true, the sample mean has approximately a Normal distribution with mean ___________ and standard deviation ___________.

C) Give the test statistic for the data.

D) Find the P-value for this significance test.

E) Summarize the conclusion in the context of this problem.