3. [8 points] The 30-mile 1-287 corridor near Tarrytown, New York, is heavily traveled and is a major interstate transportation link. The Tappan Zee Bridge is part of this road network and is in need of structural repairs. Approximately 140000 vehicles cross this bridge every day. Transportation officials have decided to conduct a hypothesis test and will raise tolls to fund planned repairs if there is evidence to suggest that the mean number of cars per day using this bridge has increased. [2 points each] (a) Write the null and alternative hypotheses about , the mean number of cars per day that cross the Tappan Zee Bridge, that the transportation officials would want to test. (b) For the hypotheses in part (a), describe the Type I and Type II crrors in the context of the problem. (c) If a Type I error is committed who is more angry, the transportation officials or drivers, and why? (d) If a Type II error is committed who is more angry, the transportation officials or drivers, and why?