In the United States, the National Highway Traffic Safety Administration (NHTSA) con- ducts crash tests for all new mode

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In the United States, the National Highway Traffic Safety Administration (NHTSA) con- ducts crash tests for all new mode

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In The United States The National Highway Traffic Safety Administration Nhtsa Con Ducts Crash Tests For All New Mode 1
In The United States The National Highway Traffic Safety Administration Nhtsa Con Ducts Crash Tests For All New Mode 1 (77.61 KiB) Viewed 34 times
In the United States, the National Highway Traffic Safety Administration (NHTSA) con- ducts crash tests for all new models of vehicles. Crash-test dummies were placed in the driver's seat and front passenger's seat of a specific 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. Suppose the NHTSDA wants to determine whether the true mean driver chest injury exceeds the true mean passenger chest injury rating. Suppose the comparison is to be made 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. (1) State the null and alternative hypotheses. (ii) Use R to find the signed rank test statistic and report the p-value of the test. (iii) Repeat step (ii) for Wilcoxon's signed rank test. (iv) Compare the results of the two tests and state the conclusion in practical terms. Chest Injury Rating 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 5 45 45 14 43 58 6 40 42 15 37 41 7 42 46 16 37 41 8 43 58 17 44 57 9 43 18 42 42 15
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