To compare the cost of three shipping methods, a firm ships material to each of four different destinations over a six-month period. The average cost per shipment is shown below. $\begin{array}{|c|c|c|c|c|}
\hline\text { Shipper } & \text { Toledo } & \text { Oshawa } & \text { Janesville } & \text { Dallas } \
\hline \text { SpeedyShip } &355 & 435 & 422 & 518 \
\hline \text { GetItThere } &342 & 441 & 402 & 488 \
\hline \text { WeR Tops } &361 & 430 & 435 & 528 \
\hline
\end{array}$ Which test would be appropriate?
A)Independent samples t-test
B)Two-factor ANOVA with replication
C)Dependent (paired-samples) t-test
D)Two-factor ANOVA without replication

Question

Quizplus · Accepted Answer

We have three shipping methods (factor 1) and four destinations (factor 2), and each combination seems to have a different average cost. Therefore, we would need to use a two-factor ANOVA. Since we have multiple observations for each combination, we need to use ANOVA with replication. The correct choice is D.

To Compare the Cost of Three Shipping Methods, a Firm