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Question 03) Using Fisher's LSD method, investigate the differences between the mean baked anode density at the three different levels of temperature in Question 2. Use at = 0.05. Question 04) An engineer suspects that the surface nish of metal parts is inuenced by the type of paint used and the drying time. He selected three drying times20, 25, and 30 minutesand used two types of paint. 3 parts are tested with each combination of paint type and drying time, and the resulting Anova is displayed as follow: Sou ree of Degrees of Variation Sum of Squares Freedom Mean Square F, Paint Type 4.58] b g k Drying Time 4.1 10 c h 1 Interaction 0.160 d i m Error in e j Total 13.602 f a) Write the hypotheses for the main and interaction effects. b) Find the values of a. b, ..., m in the table. Include all of your work. c) Are the main and interaction effects signicant at level a = 0.05? d) What would have happened, if the engineer had tested only one part with each combination of paint type and drying time? c) What is your suggested solution for the problem mentioned in part d? Justify your answer. Question 05) Short answer question: a) What are the differences between observational studies and experiments? b) What are the advantages of experiments? c) What are the tools in experimental design to eliminate bias? d) What are the tools in experimental design to reduce sampiing error? e) What is factorial experiment