The US department of energy's fuel economy guide gives fuel efficiency data for cars and trucks. Fuel efficiency rating for city driving in terms of miles per gallon for random sample of 30 midsize cars and random sample of 20 large cars given the following data:
midsize
21 18 21 22 24 19 20 26 19 19
19 24 20 23 18 21 19 28 20 23
21 23 20 21 18 21 24 19 21 24
large
17 21 16 17 16 18 17 16 17 21
17 19 17 17 17 17 18 17 16 17
a. Determine the point estimate of difference between mean fuel efficiency rating for midsize cars and large cars?
b. Prepare hypothesis which can be used to find out whether sample data support hypothesis that mean fuel efficiency rating for midsize cars is greater than mean fuel efficiency for large cars.
c. Calculate p-value for the hypothesis test.
d. at α = .05, determine your conclusion?