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Exam 2 Review Questions (page 1)

# Exam 2 Review Questions (page 1) - IME326 Engineering Test...

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Unformatted text preview: IME326 Engineering Test Design and Analysis |ME326 Engineering Test Design and Analysis Exam II Review Questions Name: 1. A one—way factorial design is used to determine whether the sample effect is signiﬁcant at a 0.05 level. The analysis of the variance table from experimental results is shown as follows. _ Source offvariatien d.f. sum of squares M g i' "'-'”"“rs (- -- ' Between samples 1 4623 46‘9" Within samples 20 8_l_20 7‘- '3" The conclusions are it ii £431 5/}; ll a. F : 4061/4623 : 0.88, so the sample effect is not signiﬁcant at an 0.05 level b'. F = 4623/8120 = 0.57, so the sample effect is not signiﬁcant at an 0.05 level c. F E 3120/4623 : 1.76, so the sample effect is signiﬁcant at an 0.05 level P r 4623/406 = 11.39, so the sample effect is signiﬁcant at an 0.05 level 2. Of ﬁve competing formulations of feed, each formulation was fed to six randomly—selected piglets for a week. The number of pounds gained during the week was observed for each piglet. The-rm sum of Squared erroriwas 7002, and the sum of squared error between treatments was 3821.5. The implied effect of formulation on weightgain is most nearly: _ a. Insigniﬁcant Bc’l‘fn' . Ir ii- b. Perhaps signiﬁcant, but not at the 0.05 level “in + 4 5w“, c. Signiﬁcant at roundly the 0.05 level n-‘r'I-‘n ’ fl" ‘ f5 at 8v t (1. More signiﬁcant than at the 0.05 level ' ' ' ' "Cl 3"” ‘ 3. A 22 factorial design with three replications is used to determine signiﬁcant factors at an 0.05 level. The analysis of the variance table from experimental results is shown as follows: Source of variation d.f. sum of squares l“ " F 4:0 Factor A 1 108.50 ”"r t "J” :13 FactorB I 61.22 i”: I“: i q Interaction Ax B 1 9.60 rt 9 o 2. 4 - 5 errors 8 32.00 4' One can conclude that a. factor A is signiﬁcant at an 0.05 level G3. factor-A and B are both signiﬁcant at an 0.05 level c. factor A and B and interaction AB are all signiﬁcant at an 0.05 level d. none of the factors are signiﬁcant. Page 1 of2 ...
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