Refer to the National Highway Traffic Safety Administration (NHTSA) new-car crash test data saved in the CRASH file. In Exercise, you compared the chest injury ratings of drivers and front seat passengers by using the Student's t-procedure for matched pairs. Suppose you want to make the comparison for only those cars which have a driver's rating of five stars (the highest rating). The data for these 18 cars are listed in the accompanying table and saved in the CRASH file. Now consider analyzing the data by using the Wilcoxon signed rank test.

a. State the null and alternative hypotheses.
b. Use a statistical software package to find the signed rank 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.

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Chest Injury Rating Chest Injury Rating Car Driver PassengerCar Driver Passenger 10 42 42 35 35 43 40 43 37 12 42 45 40 42 14 15 16 17 18 41 42 46 42 43