The Goal of an Experiment Is to Investigate the Factors

Multiple Choice

The goal of an experiment is to investigate the factors that affect visitor travel time in a complex, multilevel building on campus. Specifically, we want to determine whether the effect of directional aid (wall signs or map) on travel time depends on starting room location (interior or exterior) .
Three visitors were assigned to each of the combinations of directional aid and starting room location, and the travel times of each (in seconds) to reach the goal destination room were recorded.

$\begin{array}{c|cc}\begin{array}{c}\text { DIRECTIONAL } \\\text { AID }\end{array} & \begin{array}{c}\text { STARTING } \\\text { Interior }\end{array} & \begin{array}{c}\text { ROOM } \\\text { Exterior }\end{array} \\\hline \text { Wall signs } & 122 & 242 \\& 101 & 332 \\& 224 & 145 \\\text { Map } & 126 & 246 \\& 106 & 326 \\& 236 & 147\end{array}$

Explain how to properly analyze these data.

A) ANOVA F-test for a randomized block design with two treatments
B) ANOVA $F$ -test for interaction in a $2 \times 2$ factorial design with 3 replications
C) Chi-square test for a $2 \times 2$ factorial design
D) ANOVA F-test for a completely randomized design with four treatments