A paint manufacturer is studying two different paint formulas to determine which of two different types of paints would provide the most protection from the elements. This is judged by how quickly the paint peels under trial. The formulas are similar, but they use different levels of additives. Additive A can be 4 or 6 ounces/gallon. Additive B can be 1 or 2 ounces/gallon. Additive C can be ½ or 1 ounce/gallon. Answer the following questions about the experiment.

Question

Quizplus · Accepted Answer

The Answer is a. What is the response variable?
Time for paint to begin peeling.
b. What are the factors?
Additive A, Additive B, Additive C
c. What are the levels of the factors? Put these into a table.

\begin{array} { l c l } & ext { Level } 1 & ext { Level } 2 \ ext { Additive A } & 4 ext { ounces } & 6 ext { ounces } \ ext { Additive B } & 1 ext { ounce } & 2 ext { ounces } \ ext { Additive C } & 1 / 2 ext { ounce } & 1 ext { ounce }\end{array}

d. Describe a treatment condition.
A treatment condition is a single experiment for instance: Additive A 4 ounces, Additive B 2 ounces, Additive C 1 ounce.
e. How many different experiments would need to be run to cover all of the permutations? How did you arrive at that figure?
2x2x2 = 8

A Paint Manufacturer Is Studying Two Different Paint Formulas to Determine