To compare the cost of three shipping methods,a firm shipped five orders to each of four different destinations over a six-month period.Their total shipping costs are shown below. Which nonparametric test would you use to compare the median shipping costs among destinations and among shippers?
A) Friedman test
B) Kruskal-Wallis test
C) Wilcoxon rank sum (Mann-Whitney)test
D) Lebesgue-Stieltjes test

Question

To compare the cost of three shipping methods,a firm shipped five orders to each of four different destinations over a six-month period.Their total shipping costs are shown below.  Which nonparametric test would you use to compare the median shipping costs among destinations and among shippers?
A) Friedman test 
B) Kruskal-Wallis test 
C) Wilcoxon rank sum (Mann-Whitney)test 
D) Lebesgue-Stieltjes test

Quizplus · Accepted Answer

The Friedman test is appropriate for comparing the median shipping costs among destinations and among shippers because it is a nonparametric test designed for comparing three or more related groups. The data in this scenario involve multiple orders (related groups) shipped to multiple destinations, making the Friedman test the best choice. The Kruskal-Wallis test and Wilcoxon rank sum test are also nonparametric tests, but they are designed for comparing independent groups, which is not the case in this scenario. The Lebesgue-Stieltjes test is a statistical test for distributional differences, and is not appropriate for comparing median shipping costs in this scenario.

To Compare the Cost of Three Shipping Methods,a Firm Shipped