Some people believe thathigher-octane fuels result in better gas mileage for their car. To test thisclaim, a researcher randomly selected 11 individuals to participate in the study. Each participant received 10 gallons of gas and drove his car on a closed course. The number of miles driven until the car ran out of gas was recorded. A coin flip was used to determine whether the car was filled up with87-octane or92-octane first, and the driver did not know which fuel was in the tank.

87_octane: 233 258 243 214 113 286 316 228 192 203 548

92_octane: 237 239 230 225 119 298 351 241 187 209 562

The test statistic is:

TheP-value is: