SOLUTION: A quality engineer is investigating the effect of four assembly methods (A,B,C,D) on the assembly time for a colour television component. He selects four operators for the study s

Question 320406: A quality engineer is investigating the effect of four assembly methods (A,B,C,D) on the assembly time for a colour television component. He selects four operators for the study so that he can also test if there will be variation based on the operators. Furthermore- he 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 assembly. Hence he must also test the different orderes of the assembly. To account for all the sources he decides to use latin-square procedure and obtain the following results:
Order of assembly Operator
1 2 3 4
Order 1 C=10 D=14 A=7 B=8
Order 2 B=7 C=18 D=11 A=8
Order 3 A=5 B=10 C=11 D=9
Order 4 D=10 A=10 B=12 C=14
PERFORM AN ANALYSIS OF VARIANCE PROCEDURE TO DETERMINE WHETHER THERE IS A SIGNIFICANT DIFFERENCE BETWEEN THE ASSEMBLY METHODS (use α = 0.05)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Order of assembly Operator
1 2 3 4
Order 1 C=10 D=14 A=7 B=8
Order 2 B=7 C=18 D=11 A=8
Order 3 A=5 B=10 C=11 D=9
Order 4 D=10 A=10 B=12 C=14
PERFORM AN ANALYSIS OF VARIANCE PROCEDURE TO DETERMINE WHETHER THERE IS A SIGNIFICANT DIFFERENCE BETWEEN THE ASSEMBLY METHODS (use α = 0.05)
-----------------------------------------------
Ho: The means are all equal.
Ha: At least one is different
----
I ran an ANOVA against the data and got the following:
test statistic: F = 0.5502
p-value: 0.6576
--
Since the p-value is greater than 5%, fail to reject Ho.
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Cheers,
Stan H.
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