Question

Use the Minitab display to test the claims using the significance level of a=0.05. The sample data are the numbers of support beams manufactured by 4 different operators using 5 different machines. Assume that there is no interaction effect from operator and machine.

Analysis of Variance for Beams Source DF SS MS F P Operator 3 59.58 20.16 2.5 0.109 Machine 4 93.49 46.22 5.74 0.011 Error 12 47.89 Total 19 200.96 8.05 1. Test the claim that the 4 operators have the same mean production output. (a) The F-test statistic is (b) The P-value is (c) Is there sufficient evidence to warrant the rejection of the claim that the 4 machine operators have the same mean production output? A. No B. Yes 2. Test the claim that the choice of machine has no effect on the production output (a) The F-test statistic is (b) The P-value is (c) 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 OB. Yes

Answer 1

1.

(a) The F-test statistic is 2.5

(b) The P-value is 0.109

Since P-value = 0.109 > 0.05, we do not reject the null hypothesis

(c) Correct option : A. No

2.

(a) The F-test statistic is 5.74

(b) The P-value is 0.011

Since P-value = 0.011 < 0.05, we reject the null hypothesis

(c) Correct option : B. Yes