6.17 Reconsider the commuting time model estimated in Exercise 5. 12 using the data file commute.dal TIME = B1 + B_DEPART + B,REDS + B&TRAINS + e

(a) Using a 5% significance level. test the hypothesis that the delay from a train is equal to three times the delay from a red light.

(b) Using a 5% significance level, test the null hypothesis that the delay from a train is at least three times greater than the delay from a red light against the alternative that it is less than three times greater.

(c) Worried that he may miss an important meeting if there are three trains, Bill leaves for work at 7:10 AM instead of 7:15 AM. Using a 5% significance level.
test the null hypothesis that leaving 5 minutes carlier is enough time to allow for three trains against the alternative that it is not enough time.

(d) Suppose that Bill encounters no red lights and no irains. Using a 5% significance level, test the hypothesis that leaving Carnegie at 7:15 AM is early enough to get him to the University before 8:00 AM against the alternative it is not. (Carry out the test in terms of the expected ume E(TIME).)

(e) Suppose that Bill leaves Camegie at 7:00 AM and encounters six red lights and one train. Find a 95% interval estimate for the time he arrives at the University.
Reconsider the production function for rice estimated in Exercise 5. 13 using data in the file rice.da!