A three-factor experiment is performed to investigate how the hardness of a metal bar depends on which furnace is used to manufacture the bar and the location of the bar in the furnace. The response variable is the hardness of the metal, and one of the factors designates which of two furnaces is used for that metal bar. The other factors are the layer in the furnace (bottom, middle, or top) and the position in the furnace (front or back). The data set obtained is given in DS 14.3.4.
(c) Construct the analysis of variance table and summarize what you learn from it.