Data on the fuel economy of several 2010 model vehicles are given in the accompanying table. Complete parts(a) and(b) below.

Car mpg

38

34

21

37

28

31

37

22

39

37

20

20

21

22

34

Click the icon to view the table of fuel economy data.

a) Find and interpret a95% confidence interval for the gas mileage of 2010 vehicles. Select the correct choice below and fill in the answer boxes within your choice.

(Round to two decimal places as needed. Use ascendingorder.)

A. One is95% confident that the true mean gas mileage for cars like the ones in the sample is between _____mpg and

_____mpg

B. 95% of all cars like the ones in the sample have gas mileages between ____mpg and ____mpg.

C. One is95% confident that the gas mileage of a randomly selected car like the ones in the sample is between ____mpg and ____mpg.

D. The true mean gas mileage for cars like the ones in the sample is between ____mpg and ____mpg95% of the time.

b) Does this confidence interval capture the mean gas mileage for all 2010vehicles? Choose the correct answer below.

A. There is a95% chance that this interval contains the true mean gas mileage for all 2010 vehicles.

B. Assuming the population of 2010 gas mileages follows a Normalmodel, this confidence interval definitely captures the true mean.

C. Because the sample size is more than10% of thepopulation, the inferences drawn from the confidence interval are not valid.

D. Without knowing how the data wereselected, one must be cautious about generalizing to all 2010 cars.