Answer Happy

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. Person 1 2 3 Miles with Miles with 87 Octane 92 Octane 234 237 257 238 243 229 215 224 114 119 287 297 4 5 6 7 315 351 8 229 241 9 192 186 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 Hd = M1 – M2, where My is the population mean mileage for Octane 87 and My is the mean mileage for Octane 92. H:Hq Select an answer v H1: Vd Select an answer 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. p = e. Make a decision. Reject the null O Do not reject the null