Question

(2 points) 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 4 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 59.18 20.06 2.59 0.118 Machine 93.51 46.12 5.95 0.016 Error 9 47.75 7.75 Total 15 200.44 3 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? O A. No OB. 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? O A. No OB. Yes

Answer 1

(a) The Etest stathetic is 2.59 (6) The þ- value is 0.118 ③ we reject Ho is p-value < x level of significance. 0.118 4 0.05 but 80 we can not reject Ho. NO (2 F-statistic in 5.95 The p-value is 0.016 P-value 0.016 < 0.05 so we com reject HD, (6 Yes