Describe the experimental design you would choose for the following situation. Make sure to identify the response, experimental units, whole plots, whole plot factors, split plot factors, nested factors, random factors, fixed factors, etc. (when applicable). Also, carefully write down the model and describe fully the terms in the model (distributional assumptions, etc.) Finally, give a skeleton ANOVA (sources of variations only). The class this question is derived from is Statistics: Design and Analysis of Experiments.

Different gallons of premixed house paints with the same label color do not always turn out the same. A manufacturer of paint believes that color variability is due to three sources: supplier of tint materials, miscalibration of the devices that add the tint to the base paint, and uncontrollable random variation between gallon cans. The manufacturer wishes to assess the size of these sources of variation and is willing to use 60 gallons of paint in the process. There are three suppliers of tint and 100 tint mixing machines at the plant.