Question

Cleaning Solution: An experiment was performed to measure the effects of two factors on the ability of cleaning solutions to remove oil from a piece of cloth. The factors were the concentration of soap (in percent by weight) and the percentage of lauric acid in the solution. The experiment was repeated twice for each combination of factors. The outcome measured was the percentage of oil removed. The results are as follows. 10% acid 25% acid 15% soap 53.1 51.6 56.3 58.2 25% soap 42.1 46.6 56.8 52.4 The ANOVA table for the data is: Analysis of Variance for Percentage of Oil Removed Source DF SS MS F P Soap 1 56.711 56.711 9.98 0.034 Acid 114.761 114.761 20.19 0.011 Interaction 14.311 14.311 2.52 0.188 Error 4 22.735 5.684 Total 7 208.519 Send data to Excel (b) Can the main effect of soap concentration on the amount of oil removed be interpreted? If so, interpret the main effect, using a= 0.05 level of significance. If not, explain why not. Since the P-value is there (Choose one) enough evidence to conclude that the mean amount of oil removed differs among soap concentration.

Answer 1

Here,

$\alpha$=0.05

And p-value for soap is 0.034

p-value < $\alpha$

Therefore,

there is enough evidence to conclude that the mean amount of oil removed differs among soap concentration.