3. Suppose someone wants to know whether the true average time required by the Blue Jay shuttle to drive from Mason Hall to Johns Hopkins at Keswick is 12 minutes. In a random sample of 30 runs of the route, the shuttle averaged 10.8 minutes with a standard deviation of 2.5 minutes. a. Determine whether this is sufficient evidence to reject the null hypothesis / = 12 minutes in favor of the alternative hypothesis u * 12 minutes in the a = 0.01 level of significance. Use the critical region method. b. Rework (a) basing the decision on the p-value corresponding to the observed value of the test statistic. (you may compute the probability of the Student's t-distribution using https ://homepage . divms . uiowa. edu/ ~mbognar/applets/t. html )