Question: (20)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.

1. Test the hypothesis that the three circuit types have the same response time. Use = 0.01.
2. Use Tukey’s test to compare pairs of treatment means. Use = 0.01.
3. Construct a set of orthogonal contrasts, assuming that at the outset of the experiment you suspected the response time of circuit type 2 to be different from the other two. (Calculation by hand.)

1. If you were a design engineer and you wished to minimize the response time, which circuit type would you select?
2. Analyze the residuals from this experiment. Are the basic analysis of variance assumptions satisfied?
   
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