2.) 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 ,u = 20 minutes. However, a random sample of ve waiting times between buses using the new route had mean = 15.1 minutes with sample standard deviation 3 = 6.2 minutes. Does this indicate that the population mean waiting time for the new route is shorter than what it used to be? Use a: = 0.05. Assume that x is normally distributed. a.) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? b.) identify the sampling distribution you will use: the standard normal or the Student's tdistribution. What is the value of the sample test statistic? c.) Find (or estimate) the P value or P value range. Sketch the sampling distribution and show the area corresponding to the P value. (Alternate method: Find the critical value(s) and sketch the critical regions and the sample test statistic on the normal curve.) d.) Based on your answers, will you reject or fall to reject the null hypothesis? e.) Interpret your decision in the context of the application