Some people believe that different octane gasoline result in different miles per gallon in a vehicle. Thefollowing data is a sample of 11 people which were asked to drive their car only using 10 gallons of gas andrecord their mileage for each 87 Octane and 92 Octane.Miles with87OctaneMiles with92 OctanePerson1.234237257238324322942152241141196287297315351822924191921861020420911547562Do the data support that different octanes produce different miles per gallon at the a = 0.02 level ofsignificance? Note: A normal probability plot of difference in car mileage between Octane 87 and Octane92 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 4 = 4i – P2,where µi is the population mean mileage for Octane 87 and u2 is the mean mileage for Octane 92.Ho: 4, Select an answer VH1:µ, Select an answer Vb. What is the significance level?c. What is the test statistic? Round to 3 decimal places.? Vd. What is the p -value? Round to 5 decimal places.e. Make a decision.O Reject the nullO Do not reject the nullf. What is the conclusion?O There is sufficient evidence to support the claim that different octanes produce different milesper gallon.O There is not sufficient evidence to support the claim that different octanes produce differentmiles per gallon.

Question

Accepted Answer

* Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at…

rt th Ar opu ndo