An engineer suspects that the surface finish of a metal part is influenced by the feed rate and the depth of cut. He selects three feed rates and four depths of cut. He then conducts a factorial experiment and obtains the following data: Table P-03 Feed Rate (cm/sec) Depth in Cut (cm) 0.20 0.25 0.30 0.35 74 79 82 99 0.01 64 68 88 104 92 98 108 110 0.03 86 104 95 99 99 99 110 114 0.04 102 95 108 107 a. Determine the suitable statistical method to analyse the experiment and explain why it is chosen! b. State the null and alternative hypotheses that you think should be tested in this experiment! c. Using Minitab or other statistical software make any analysis for the data and test these hypotheses using α = 0.05. Show your statistical analysis and what is your conclusion? If necessary, explore the data with any graph analysis (histogram, normality of data, residual graph or boxplot graph) and provide a practical interpretation of graph! d. Use linear regression model to determine the impact factor of each independent variables!