Car Fuel Consumption

Listed below are the highway fuel consumption amounts (in mi/gal) from cars in three different categories. Use a 0.05 signifiacance level to test the claim that the different car categories have the same median highway fuel consumption. Based on the results, does the number of cylinders appear to affect highway fuel consumption?

Four cylinder

31 30 32 30 32 34 32 34 32 29 32 38 31

Six cylinder

26 29 29 27 27 25 25 30 37 32 31 27

Eight cylinder

25 25 25 27 25 25 25

(i) Test statistic H =

(ii) Critical value Χ^2 =

(iii) Conclusion on H0:

(iv) Interpret the results according to the problem.