The response time in miliseconds was determined for three difference types of circuits that could be used in an automotive valve shutoff mechanism. The results from a completely randomized experiment are shown in the following table: Circuit Type 1 2 3 9 20 6 12 21 5 Response Time 10 8 23 17 8 16 15 30 7 (a) Test the hypothesis that the three circuit types have the same response time. Use = 0.01 (b) Use Tukey's test to compare pairs of treatment means. Use = 0.01. (c) Use the graphical procedure to compare the treatment means. What conclusions can you draw? How do they compare with the conclusions from part (b)? (d) Construct a set of orthogonal contrasts, assuming that at the outset of the experiment you suspected the response time circuit type 2 to be different from other two. (e) If you were design engineer and you wished to minimize the response time, which circuit type would you select? (f) Analyse the residuals from this experiment. Are the basic analysis of variance assumptions satisfied