Question

1. Octane is a measure of how much fuel can be compressed before it spontaneously ignites. Some people believe that higher octane fuels result in better gas mileage for their cars. To test this claim, a researcher randomly selected 11 individuals (and their cars) to participate in the study. Each participant received 10 gallons of gas and drove his or her car on a closed course that simulated both city and highway driving. The number of miles driven until the car ran out of gas was recorded. The results are in the following table. Assume all criteria is met for testing whether the mileage from the 92 octane is greater than the mileage from the 87 octane at the α-0.05-level of significance. Driver Miles on 87 octane Miles on 92 octane 10 234 257 243 215 114 287 315 229 192204 547 237 238 229 224 119297351 241 186 209 562 a) Find the p-value: Round to 4 decimal places. Calculator function: (2 pts) b) (2 pts) State your conclusion in the lanquage of the problem (do not use the words "null", "hypothesis", etc.)

Answer 1

on. goiles on a octane 23t a38 d 2 024 119 d31- 35+ 043 d15 llA a8+- 315 a9 192 d04 547 351 Q41 186 10 562 $2X2 0803 gven dała 01 11

mile on 8 re 51.909 I1850q- (83+) 850199 8048569) SI 109-1349 qaoce @ampla moan Kr s -Q84%1.x3 oiiles n na 5.= 115.0409

a5子,909-263 (100.350409 5.091 (a) P-Value -o.4ธุ์ 81 alcolatov funtion t-닦 ilag from,