An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) on the assembly time for a color television component. Four operators are selected for the study. Furthermore, the engineer knows that each assem- bly 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 variabil- ity, the engineer uses the Latin square design shown below. Analyze the data from this experiment (a = 0.05) and draw appropriate conclusions. Operator Order of Assembly 2 4 C- 10 B = 7 A = 5 D- 14 A - 7 B- 8 2 C = 18 D= 11 A = 8 C- 11 B - 10 A - 10 3 D=9 D- 10 B- 12 C= 14 4.

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4.23. An industrial engineer is investigating the effect of
four assembly methods (A, B, C, D) on the assembly time for
a color television component. Four operators are selected for
the study. Furthermore, the engineer knows that each assem-
bly 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 variabil-
ity, the engineer uses the Latin square design shown below.
Analyze the data from this experiment (a = 0.05) and draw
appropriate conclusions.
Operator
Order of
Assembly
2
3
4
C = 10
B = 7
A - 5
1
D= 14 A = 7
B - 8
C = 18
B = 10
A - 10
2
D= 11
A = 8
3
C= 11
D= 9
4
D- 10
B = 12
C= 14
%3D
Transcribed Image Text:4.23. An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) on the assembly time for a color television component. Four operators are selected for the study. Furthermore, the engineer knows that each assem- bly 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 variabil- ity, the engineer uses the Latin square design shown below. Analyze the data from this experiment (a = 0.05) and draw appropriate conclusions. Operator Order of Assembly 2 3 4 C = 10 B = 7 A - 5 1 D= 14 A = 7 B - 8 C = 18 B = 10 A - 10 2 D= 11 A = 8 3 C= 11 D= 9 4 D- 10 B = 12 C= 14 %3D
4.3.
agents on the strength of a particular type of cloth. Because
there might be variability from one bolt to another, the
chemist decides to use a randomized block design, with the
bolts of cloth considered as blocks. She selects five bolts and
applies all four chemicals in random order to cach bolt. The
resulting tensile strengths follow. Analyze the data from this
experiment (use a- 0.05) and draw appropriate conclusions.
A chemist wishes to test the effect of four chemical
Bolt
Chemical
1
2 3
4
73
68
74
71
67
73
67
75
72
70
3
75
68
78
73
68
4
73
71
75
75
69
Transcribed Image Text:4.3. agents on the strength of a particular type of cloth. Because there might be variability from one bolt to another, the chemist decides to use a randomized block design, with the bolts of cloth considered as blocks. She selects five bolts and applies all four chemicals in random order to cach bolt. The resulting tensile strengths follow. Analyze the data from this experiment (use a- 0.05) and draw appropriate conclusions. A chemist wishes to test the effect of four chemical Bolt Chemical 1 2 3 4 73 68 74 71 67 73 67 75 72 70 3 75 68 78 73 68 4 73 71 75 75 69
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