13-2 A study was completed to determine how assembly line speed and number of rest breaks for employees affect the numbe
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13-2 A study was completed to determine how assembly line speed and number of rest breaks for employees affect the numbe
defects in a production process. The three set levels of assembly line speed were 20, 25, and 30 items per hour. The number of breaks given the workers per four hour period were respectively, 1, 2, and 3. The same group of workers and the same assembly line were used for a one-week period with each of the nine combinations of speed and breaks. A CRD design was used and each of the nine treatments were replicated twice. The response variable was the number of defects per 1000 produced items. The table contains the data from the study. Number of Breaks 2 1 3 20 5 7 8 6 2 4 Line Speed 25 9 12 10 13 6 3 22 22 17 15 19 12 10 (a) Find the ANOVA table for these data. (b) Perform and interpret the outcome of appropriate f-tests using a 0.05 level. (c) Perform the Tukey multiple comparison using a 0.05 level for the levels of speed. Repeat for the levels of breaks. (d) Perform a test for linear and for quadratic effects of line speed on the response variable. Use a 0.05 level for each test.