An Industrial Engineer Wants to Test the Effect of Three

question 19

Multiple Choice

An industrial engineer wants to test the effect of three different ways of assembling a part on the total assembly time.Five people are randomly assigned to each of the three assembly methods,and the total assembly time (in seconds) is recorded.Calculate MST,MSE and the F-ratio.Can you reject H0 using α = 0.05? The ANOVA table is listed below. Analysis of Variance
Source Sum-of-Squares df Mean-Square F-ratio P-value
Method 985535.907
Error 276844.275
Total 1262380.182

• A)MST = 492767.954; MSE = 19774.591; F-Ratio = 24.919; Yes,reject H0 using α = 0.05.
• B)MST = 492767.954; MSE = 23070.356; F-Ratio = 21.359; Yes,reject H0 using α = 0.05.
• C)MST = 328511.969; MSE = 23070.356; F-Ratio =14.240; Yes,reject H0 using α = 0.05.
• D)MST = 328511.969; MSE = 19774.591; F-Ratio =16.613; Yes,reject H0 using α = 0.05.
• E)MST = 492767.954; MSE = 21295.713; F-Ratio = 23.139; Yes,reject H0 using α = 0.05.

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