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. Therm 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. factorA 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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