Question

Use the Minitab display to test the claims using the significance level of α=0.05. The sample data are the numbers of support beams manufactured by 5 different operators using 5 different machines. Assume that there is no interaction effect from operator and machine. Analysis of Variance for Beams SourceOperatorMachineErrorTotalDF441624SS59.3893.0147.81200.2MS20.1646.428.19F2.465.67P0.0870.005 Test the claim that the four operators have the same mean production output. The F−test 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 F−test 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. No B. Yes

ative anatysis morse ud-5 chapter-12/7 2: Problem 7 tte carns usrgtn sgtarce leves of α-0届The sarpe data ae me furter rs using &dinerent machines Assume that there is no interaction effect from operator ar Analysis of Varlance for Benns Source DF SS MS F P Operator 5938 2016 246 0087 Machine 4 9301 46.42 567 000 Err 16 47.81 8.19 Ertoe Total 24 200.2 nors nve the same nean prooucton anantthe reection of the clam that the four machine operators have he same mean producton

Answer 1

Test the claim that the four operators have the same mean production output.
The F−test statistic is 2.46
The P-value is 0.087

Is there sufficient evidence to warrant the rejection of the claim that the four machine operators have the same mean production output? A. No

Test the claim that the choice of machine has no effect on the production output.
The F−test statistic is 5.67
The P-value is 0.005

Is there sufficient evidence to warrant the rejection of the claim that the choice of machine has no effect on the production output?
B. Yes