A cabinet shop wants to determine the effect of adhesive brands on the bonding of veneer to cabinets. The shop divides the cabinets being built into groups of six and uses a different adhesive on each group. The treatments were identical except for the brand of adhesive. A. Randomized experimentB. Observational study

A. Randomized experiment.

Seee explanation below.

Step-by-step explanation:

Previous concepts

In a Randomized experiment the results can be use to establish causal inferences about means of control. and present two important characteristics:

a) "the independent or explanatory variable is controlled by direct manipulation.

b) "All other sources of variability are controlled by chance".

An observational study is an empirical but is nonexperimental investigation in order to see the effects caused by an specific treatment.

Solution to the problem

For this case we want to determine the effect of adhesive brands on the bonding of veneer to cabinets.

The experiment is conducted with 6 different groups defined with different adhesive and all the groups are the same except by the type of brand for the adhesive used.

So on this case we see that the variable of interest is controlled with direct manipulation with the creation of the 6 groups. And we have that all the the others sources of variability are controlled by chance since all the groups are identical except by the brand type.

So for this case the correct answer would be:

A. Randomized experiment.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent