Listed below are highway fuel consumption amounts migal for

Listed below are highway fuel consumption amounts (mi/gal) for cars categorized by the sizes of small, midsize, and large. Using a 0.05 significance level, test the claim that the three size categories have the same median highway fuel consumption. Use the Kruskal-Wallis test

Small

28

26

23

24

26

24

25

Midsize

28

31

26

30

28

29

31

Large

34

36

28

40

33

35

26

Multiple Choice

A. ) Test statistic: H= 0.7218, critical value: X2=5.9911,P -value=0.348, fail to reject the null hypothesis of equal medians.

B.) Test statistic: H=8.1339 , critical value: X²=7.5372, P-value=0.0012, reject the null hypothesis of equal medians.

C.) Test statistic: H= 11.8349 , critical value: X²=8.7345, P-value=0.0966, fail to reject the null hypothesis of equal medians.

D.) Test statistic: H= 8.1339, critical value: X²=7.5372, P-value=0.063, fail to reject the null hypothesis of equal medians.

E.) Test statistic: H= 11.8349, critical value: X²=5.991 , P-value=0.0027, reject the null hypothesis of equal medians.

Solution