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2. The response time in milliseconds was determined for three different types of circuits that could be used in an automatic valve shutoff mechanism. The results are shown in the following table. Circuit Type Response Time 9 12 10 9 15 2 25 26 21 27 29 3 8 7 a. Test the hypothesis that the three circuit types have the same response time. Use Q = 0.01. i. State the hypotheses, ii. Make conclusions. b. Analyze the residuals from this experiment. Are the basic analysis of variance assumptions satisfied? i. State the hypotheses, ii. What is the value of the test statistic? I iii. What is the p-value? iv. What is the decision? V. Make conclusions. Use = infaatant means
c C. Calculate and use Fisher LSD to compare all pairs of treatment means. Use a = 0.01. d. Calculate and use Tukey's significance difference to compare all pairs of treatment means. Use a = 0.01. e. If you were a design engineer and you wished to minimize the response time, which circuit type would you select? Calculate and use Dunnett's significance difference. f. If you are minimizing the response time, compare the results from parts c, d, and