Question

suppose you are interested in comparing brand a interior enamel paint to brand b interior enamel paint. design an experiment to determine which paint is better for painting bedrooms.

choose the best design for this experiment.

a. matched - pairs design because experimental units are paired up and there are only two levels of treatment.
b. completely randomized design because experimental units are paired up and there are only two levels of treatment.

Explanation:

In a matched - pairs design, experimental units are paired based on some relevant characteristic. Here, when comparing two brands of paint for painting bedrooms, we can pair up bedrooms (experimental units) in a way that similar - sized or similar - condition bedrooms are paired. Since there are only two treatments (brand A and brand B), a matched - pairs design is appropriate as it can control for some of the variability between the experimental units. A completely randomized design does not pair up the experimental units.

Answer:

A. Matched - pairs design because experimental units are paired up and there are only two levels of treatment.