Use the Minitab display to test the claims using the significance level of =0.05

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 5 different machines. Assume that there is no interaction effect from operator and machine.

1. Test the claim that the 3 operators have the same mean production output

(a) The Ftest statistic is .

(b) The P-value is .

(c) Is there sufficient evidence to warrant the rejection of the claim that the 3 machine operators have the same mean production output? A. Yes B. No

2. Test the claim that the choice of machine has no effect on the production output.

(a) The Ftest 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. Yes B. No

Source DF SS MS F P Operator 2 59.78 19.46 2.29 0.163 Machine 4 93.45 46.22 5.44 0.032 Error 8 47.85 8.49 Total 14 201.08

Explanation / Answer

1) For operators
a) The F-test statistics is 2.29
b) The p-value is 0.163
c)
B. No
As p-value is greater than significance level of 0.05, we fail to reject the null hypothesis.
There is no sufficient evidence to warrant the rejection of the claim that the 3 machine operators have the same mean production output.

1) For machines
a) The F-test statistics is 5.44
b) The p-value is 0.032
c)
A. Yes
As p-value is less than significance level of 0.05, we reject the null hypothesis.
There is 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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