# Listed below are measured fuel consumption amounts (in miles per gallon) for a random sample of cars.   Acura Rl   Acura TSX  Audi A6 BMW 525i City Fuel Consumption 18 22 21 21 Highway Fuel Consumption 26 31 29 28 We are going to do a matched pairs test to see if there is sufficient evidence at the 5% significance level to support the claim that there is a difference in city and highway fuel consumption. a. Define the parameter and state the hypotheses.

Question

7. Listed below are measured fuel consumption amounts (in miles per gallon) for a random sample of cars.

 Acura Rl Acura TSX Audi A6 BMW 525i City Fuel Consumption 18 22 21 21 Highway Fuel Consumption 26 31 29 28

We are going to do a matched pairs test to see if there is sufficient evidence at the 5% significance level to support the claim that there is a difference in city and highway fuel consumption.

a. Define the parameter and state the hypotheses.

b. Find the observed sample statistic and the test statistic. Use proper notation for the sample statistic (x or pˆ), and clearly identify your test statistic as either a z-score or a t-score.

c. Find the p-value of your test statistic. You are required to graph the test statistic on its corresponding distribution, shade the appropriate area, and provide correct calculator documentation. Box final answer.

d. Make a generic decision about H0.

e. Make a conclusion in the context of the problem.

f. Do you have any concerns with this hypothesis test? Clearly answer “yes” or “no”. ___ Explain your answer.