Suppose the analysis in problem 5 was carried out by preparing for each recipe enough cake mix to make five cakes to be baked together at the various environmental conditions. This is a split-plot design Which factors are associated with the design plots and which with subplots? How might the experimental program have been arranged differently? What might be the advantages and disadvantages of each arrangement? Assume that the design factors are the whole plots and make a table of their main effects and two-factor interactions. How might this table be used to obtain the standard error of (a) an environmental main effect and (b) an environmental-design interaction