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Listed below are highway fuel consumption amounts (mi/gal) for cars categorized

ID: 3389155 • Letter: L

Question

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.

Small

28

26

23

24

26

24

25

Midsize

28

31

26

30

28

29

31

Large

34

36

28

40

33

35

26

Explanation / Answer

Listed below are highway fuel consumption amounts (mi/gal) for cars categorized

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