Hands-on soap bubble experiments are a great way to teach mathematics. In an effort to find the best possible bubble solution, two different soap concentrations were used along with two different amounts of glycerin additive. Students were then given a flat glass plate and a straw and were asked to blow their best bubble. The diameters of the resulting bubbles (in millimeters) are listed below. Can an interaction be concluded between the soap solution and the glycerin? Is there a difference in mean length of bubble diameter with respect to the concentration of soap to water? With respect to amount of glycerin additive? Use α = 0.05.

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+1 Unit glycerin +2 Units glycerin 115, 113, 105, 110 98, 100, 90, 95 99, 100, 102, 95 Soap:water 13:25 Soap:water 1:2 90, 102, 100, 98