hw66f11

# hw66f11 - Assignment 6 On-campus students Due 3pm October...

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Assignment 6 On-campus students: Due 3pm October 28 Friday; Oﬀ-campus students: Due midnight October 30 Sunday 1. An engineer is investigating the eﬀects of four assembly methods (A, B, C, D) on the assembly time of a color television component. Four operators are selected for the study. Furthermore, the engineer knows that each assembly method produces such fatigue that the time required for the last assembly may be greater than the time required for the ﬁrst, regardless of the method. That is, a trend develops in the required assembly time. To account for this source of variability, the engineer uses the Latin square design shown below. order of Operator Assembly 1 2 3 4 1 C=10 D=14 A=7 B=8 2 B=7 C=18 D=11 A=8 3 A=5 B=10 C=11 D=9 4 D=10 A=10 B=12 C=14 a) Test if there is a diﬀerence between the four assembly methods. State the hypotheses and use α =5% . b) Obtain the estimates of the treatment eﬀects. c) Use Tukey’s method to perform pairwise comparisons by hand as well as SAS.

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hw66f11 - Assignment 6 On-campus students Due 3pm October...

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