Some people believe that different octane gasoline result in different miles per gallon in a vehicle. The following data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas and record their mileage for each 87 Octane and 92 Octane. Miles with Miles with Person 87 Octane 92 Octane 1 234 237 2 257 238 3 243 229 4 215 224 5 114 119 287 297 7 315 351 8 229 241 192 186 10 204 209 11 547 562 Do the data support that different octanes produce different miles per gallon at the a = 0.02 level of significance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane 92 indicates the population could be normal and a boxplot indicated no outliers. a. Express the null and alternative hypotheses in symbolic form for this claim. Assume Hā = H1 – µ2, where 4i is the population mean mileage for Octane 87 and u2 is the mean mileage for Octane 92. Ho:Hā Select an answer H1:Ha Select an answer v b. What is the significance level? a c. What is the test statistic? Round to 3 decimal places. ?v = d. What is the p -value? Round to 5 decimal places. e. Make a decision. O Do not reject the null O Reject the null f. What is the conclusion? O There is sufficient evidence to support the claim that different octanes produce different miles per gallon. O There is not sufficient evidence to support the claim that different octanes produce different miles per gallon.