NHTSA new car crash tests. Refer to the National Highway Traffic Safety Administration (NHTSA) crash test data on new cars, saved in the CRASH file. Crash test dummies were placed in the driver's seat and front passenger's seat of a new car model, and the car was steered by remote control into a head-on collision with a fixed barrier while traveling at 35 miles per hour. Two of the variables measured for each of the 98 new cars in the data set are (1) the severity of the driver's chest injury and (2) the severity of the passenger's chest injury. (The more points assigned to the chest injury rating, the more severe the injury is.) The files demonstrated that the mean chest injury rating was significantly higher for drivers than for passengers. A similar study utilized independent random samples of size 18 and yielded the data shown in the table below on the chest injury rating of cars for drivers and passengers. + Chest Injury Rating Car Driver Passenger Car Driver Passenger 1 42 35 10 36 37 2 42 35 11 36 37 3 34 45 12 43 58 4 34 45 13 40 42 45 45 14 43 58 40 42 15 1 37 41 42 46 16 37 41 8 43 58 17 44 57 9 45 43 18 42 42 a. State the null and alternative hypotheses. b. Find the test statistic. c. Give the rejection region for the test, using a = .01. d. State the conclusion in practical terms. Report the p -value of the test. e. Calculate and interpret a 95% confidence interval for the difference between the means of drivers and passengers