Question 0100 points): The yield of a chemical process is being studied. The two most important variables are thought to be the pressure and the temperature. Three levels of each factor are selected, and a factorial experiment with two replicates is performed. The yield data are as follows: Pressure (psig) Temperature (C) 200 215 230 150 90.4 90.7 90.2 90.2 90.6 90.4 160 90.1 90.5 89.9 90.3 90.6 90.1 170 90.5 90.8 90.4 90.7 90.9 90.1 a) State the statistical model and number of experimental units and number of observational units. b) By Minitab, any other software, or by hand, plot the main effect and interaction effects, and comment on both. c) Analyze the data using Minitab (or any other software). Report the AN OVA table and draw conclusions (test the main effect of the two treatment factors and the interaction). Use signicance leve1=0 .05. d) What are assumptions for ANOVA test of hypotheses? 6) Plot appropriate residual plots and comment on the model's adequacy. In other words, do you think the assumptions you mentioned in (d) are satised based on residual plots? f) Assume we ignored the interaction in our analysis, do the analysis again without including the interaction in the AN OVA table and comment on the differences you find