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.
$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$\text { Destination }$
$\begin{array}{l}

\text { Shipper } & \text { Toledo } & \text { Oshawa } & \text { Janesville } & \text { Dallas } \
\text { Speedyship }& 355 & 435 & 422 & 518 \
\text { GetItThere } &342 & 441 & 402 & 488\
\text { WeRTops}& 361 & 430 & 435 & 528

\end{array}$
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. 
$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$ \quad $$\text { Destination }$
$\begin{array}{l}

\text { Shipper } & \text { Toledo } & \text { Oshawa } & \text { Janesville } & \text { Dallas } \
\text { Speedyship }& 355 & 435 & 422 & 518 \
\text { GetItThere } &342 & 441 & 402 & 488\
\text { WeRTops}& 361 & 430 & 435 & 528

\end{array}$
 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 used to compare the medians of three or more related samples, in this case, the three shipping methods. The data are nonparametric and paired, meaning that the same five orders were shipped using each of the three shipping methods. The Kruskal-Wallis test is used for independent samples, and the Wilcoxon rank sum (Mann-Whitney) test is used for comparing two independent samples. The Lebesgue-Stieltjes test is a mathematical tool used for measure theory and is not applicable in this context. Therefore, the best choice for comparing the median shipping costs among destinations and among shippers is the Friedman test.

To Compare the Cost of Three Shipping Methods, a Firm \quad

To Compare the Cost of Three Shipping Methods, a Firm $\quad$