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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.
Give the Z- score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected
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What is the probability of getting a number less than 5 on both?
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What critical value should the company officials use to determine the rejection region?
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Follow the conventions as described in the general guidelines for writing up Special Problems.
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