Use the Minitab display to test the claims using the significance level of =0.05
ID: 3317692 • Letter: U
Question
Use the Minitab display to test the claims using the significance level of =0.05. The sample data are the numbers of support beams manufactured by 3 different operators using 3 different machines. Assume that there is no interaction effect from operator and machine.
Analysis of Variance for Beams SourceOperatorMachineErrorTotalDF2248SS59.1893.6747.79200.64MS20.1646.628.09F2.495.76P0.1980.066
Test the claim that the four operators have the same mean production output.
The Ftest statistic is
The P-value is
Is there sufficient evidence to warrant the rejection of the claim that the four machine operators have the same mean production output?
A. No
B. Yes
Test the claim that the choice of machine has no effect on the production output.
The Ftest statistic is
The P-value is
Is there sufficient evidence to warrant the rejection of the claim that the choice of machine has no effect on the production output?
A. Yes
B. No
Explanation / Answer
Hypothesis for operators:
Ho: There is no significance difference between means of 3 operators
H1: There is a significance difference between means of 3 operators
alpha:5%
F=2.495
P value=0.198
Conclusion: P>0.05, we do not reject the H0. Hence claim is not significant
Hence there is no sufficient evidence to warrant the rejection of the claim that the four machine operators have the same mean production output
Hypothesis for machines:
Ho: There is no significance difference between means of 3 machines
H1: There is a significance difference between means of 3 machines.
alpha:5%
F=0.76
P value=0.066
Conclusion: P>0.05, we do not reject the H0. Hence claim is not significant
Hence there is no sufficient evidence to warrant the rejection of the claim that the choice of machine has no effect on the production output
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