An experiment is designed to study pigment dispersion in paint. four different mixes of a particular pigment are studied. the procedure consists of preparing a particular mix and then applying that mix to a panel by three application methods (brushing, spraying, and rolling). the response measured is the percentage reflectance of pigment. three days are required to run the experiment, and the data obtained follow. applicationmixdaymethod1234164.566. 374.166.51268.369.573.870.0370.373. 178.072.3165.265.073.864.82269.270. 374.568.3371.272.879.171.5166.266.5 72.367.73269.069.075.468.6370.874.2 80.172.41) what is the whole plot factor? what is the split plot factor? 2) write a mathematical model for the problem, assuming that mixes and application methods are fixed.3) produce the anova table and the ems column using a package.4) interpret your test results based on the p-values.