2. Suppose we obtain the following two samples of airline travel times (time from leaving the gate to arriving at the destination gate) and their associated statistics. You may assume that all assumptions are met. - A random sample of 32 Washington-Boston flight times with a sample average of 145 minutes and a sample standard deviation of 40 - A random sample of 35 Atlanta-Philadelphia flight times with a sample average of 180 minutes and a sample standard deviation of 50 Is there a difference in the mean travel times for the two itineraries? Let alpha = 0.05. a. Which Type of test would you use: b. State your hypotheses c. State the p-value and the value of the test statistic (3 decimal places each): d. Would you Reject the null Accept the null Fail to Reject the null (circle one) 3. Using the data in question 2, create an appropriate confidence interval (95%) for testing the hypothesis. b. Based on the confidence interval (not on the p-value) state what conclusion you would come to regarding whether the null hypothesis should be rejected or not and why you made this decision. (Hint, is the number from your Null Hyp inside the CI, or outside the CI?)