Question:
Data Set 16 in Appendix B lists the measured greenhouse gas emissions from 32 different cars. The sample has a mean of 7.78 tons and a standard deviation of 1.08 tons. (The amounts are in tons per year, expressed as CO2 equivalents.) Use a 0.05 significance level to test the claim that all cars have a mean greenhouse gas emission of 8.00 tons.
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Unless specified by your instructor, use either the traditional method or P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), critical value(s), and state the final conclusion that addresses the original claim.
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Data Set 16: Cars The car weights are in pounds, the lengths are in inches, the braking distances are the distances in feet required to stop from 60 mi/h, the displacements are in liters, the city fuel consumption amounts are in miles per gallon, the highway fuel consumption amounts are in miles per gallon, and GHG de- notes greenhouse gas emissions in tons per year, expressed as CO₂ equivalents. STATDISK: Minitab: Excel: TI-83/84 Plus: Text file names: Car Acura RL Acura TSX Audi A6 BMW 525i Buick LaCrosse Cadillac STS Chevrolet Impala Chevrolet Malibu Chrysler 300 Dodge Charger Dodge Stratus Ford Crown Vic Ford Focus Honda Accord Hyundai Elantra Infiniti M35 Jaguar XJ8 Kia Amanti Kia Spectra Lexus GS300 Lexus LS Lincoln Town Car Mazda 3 Mercedes-Benz E Saturn lon Toyota Avalon Toyota Corolla Weight 4035 3315 4115 VW Passat Volvo S80 3650 3565 4030 3710 3135 4105 4170 3190 4180 2760 3195 2980 4095 3860 4020 2875 3915 4205 4415 Mercury Gr. Marq. 4180 Nissan Altima 3235 Pontiac G6 3475 2865 3600 2595 3060 3745 3465 3630 Data set name is Cars. Worksheet name is CARS.MTW. Workbook name is CARS.XLS. App name is CARS and the file names are the same as for text files. CRWT, CRLEN, CRBRK, CRCYL, CRDSP, CRCTY, CRHWY, CRGHG. Length 194 183 194 191 198 196 200 188 197 200 191 212 168 190 177 193 200 196 176 190 197 215 177 190 212 192 189 185 197 178 188 190 Braking 131 136 129 127 146 146 155 139 133 131 131 140 137 144 133 122 133 143 144 133 134 143 129 128 140 144 146 130 139 140 135 136 Cylinders Disp City 6+66+66+000000+66+6060066446 8 8 8 8 8 8 8 3.5 2.4 3.2 3.0 3.8 3.6 3.9 2.2 5.7 5.7 2.4 4.6 2.0 2.4 2.0 3.5 4.2 3.5 2.0 3.0 4.3 4.6 2.3 3.2 4.6 2.5 3.5 2.2 3.5 1.8 2.0 2.9 18 252284 NNN2RANDENDONNENFONNNNNN2 21 21 20 18 19 24 17 17 17 26 24 24 18 18 17 25 18 17 26 27 17 23 24 30 Hwy 20 26 31 29 29 30 27 27 32 25 30 25 32 34 32 25 27 25 34 30 25 25 32 37 25 29 32 32 31 38 31 27 GHG 8.7 7.2 7.7 7.7 7.9 8.7 8.2 6.8 COGNoS 660 ∞ N89 33556 EN OO 9.3 9.3 7.4 9.3 6.5 6.6 6.7 9.0 8.6 9.3 6.5 7.4 8.7 9.3 6.5 7.0 9.3 7.1 7.2 6.7 7.2 5.5 7.3 8.2