Two new different models of compact SUVs have just arrived at the market. You ar

Question

Two new different models of compact SUVs have just arrived at the market. You are interested in comparing the gas mileage performance of both models to see if they are the same. A partial computer output for twelve compact SUVs of model 1 and thirteen of model 2 is given below; Level of Significance 0.05

You are told that the gas mileage population distributions for both models are not normally distributed.
Referring to the above, what is the value of the Wilcoxon rank sum test statistic T1?

Select one:

a. 157.6

b. 132.5

c. 13

d. 192.5

Explanation / Answer

Solution:

For the given example we have to use the Wilcoxon rank sum test. For this test we are given,

Sum of ranks for first sample = W(-) = 192.5

Sum of ranks for second sample = W(+) = 132.5

The test statistic T1 is given as below:

T1 = Max [W(-), W(+)]

T1 = Max [192.5, 132.5]

T1 = 192.5

Required answer: d. 192.5

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