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

Question

Mathematics

Keshawn Wise

29 October, 12:50

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

+1

Answers (1)

Know the Answer?

Jewel · Answer 1

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

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

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