You have designed an experiment manipulating room temperature (cold, warm, or hot), noise level (quiet or loud), and room color (pink, blue, or black). How many interactions are possible?Select one:

a. 3 x 4
b. 2 x 3
c. 3 x 2 x 2
d. 2 x 2

Option B.

2 × 3 interactions are possible.

Step-by-step explanation:

Since the experiment is manipulating room temperature, noise level, and room colour, this means that the experiment has 3 main effects, and for that reason has 3 independent variables.

Since there are 3 independent variables, there are 3! interactions.

And 3! = 3 × 2 × 1 = 2 × 3