3.22. 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 from a completely randomized experiment are shown in the following table:

(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 in Section 3.5.3 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 of circuit type 2 to be different from the other two.

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

Transcribed Image Text:

Circuit Type Response Time 1 9 12 10 8 15 23 20 21 23 17 30 3 6 5 8 16 7