Question: Some of the green thumbs were talking one day and determined that there were about 4 factors that had a significant impact on the growth of a plant during any one phase. These factors are: 1) Temperature 2) Water 3) Fertilizer 4) Carbon Dioxide Level. The green thumbs thought that at least two of these factors interacted with each other, so they wanted to design an experiment to test the effects of these factors on the growth of the azaleas. They asked you to create a two-level experiment so they could determine the optimum levels for each factor. They told you that the high and low for temperature should be 75 and 90 degrees F. Water should be 1 and 4 oz. per day per container. Fertilizer should be at 2 and 4 tablespoons per container, and the carbon dioxide content should be between .03% and .04%. Create a experimental design such that there are 2 replications for each treatment. Discuss the importance of randomization. Also, discuss the importance of identifying interaction, and what impact it has on your decision-making. That is, in the presence of significant main effects and significant interaction, how do you determine the optimal settings of the factors?