Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: ; . SST:10,700 SSTR:4500 a. Set up the ANOVA table for this problem (to 2 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value (to 4 decimals) Treatments Error Total b.Use to test for any significant difference in the means for the three assembly methods. Calculate the value of the test statistic (to 2 decimals). The P-value is_______
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the
number of units assembled correctly with each method, 30 employees were randomly selected and randomly
assigned to the three proposed methods in such a way that each method was used by10 workers. The number of
units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting
data set. The following results were obtained: ; . SST:10,700 SSTR:4500
a. Set up the ANOVA table for this problem (to 2 decimals, if necessary).
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Source of Variation |
Sum of Squares |
Degrees of Freedom |
Mean Square |
F |
p-value (to 4 decimals) |
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Treatments |
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Error |
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Total |
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b.Use to test for any significant difference in the means for the three assembly methods.
Calculate the value of the test statistic (to 2 decimals).
The P-value is_______
What is your conclusion? _________________________
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