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:-What are the hypotheses of interest in this experiment?-Analyze the data and draw conclusions. Use0.05.-Prepare appropriate residual plots and comment on the models adequacy.-Draw factorial plots (main and interaction plots) and comment on them.-Draw surface and contour plot and comment on them.-Under what conditions would you operate this process?-Suppose that we wish to reject the null hypothesis with a high probability if the difference in the true mean yield at any two pressures is as great as 0.5. If a reasonable prior estimate of the standard deviation of yield is 0.1, how many replicates should be run