Given below are the analysis of variance results from a Minitab display. Assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean. Identify the p-value.
Source DF SS MS F p
Factor 3 13.500 4.500 5.17 0.011
Error 16 13.925 0.870
Total 19 27.425
A) 0.011
B) 4.500
C) 5.17
D) 0.870
Identify the value of the test statistic.
Source DF SS MS F p
Factor 3 30 10.00 1.6 0.264
Error 8 50 6.25
Total 11 80
A) 0.264
B) 10.00
C) 1.6
D) 30
Identify the critical-value.
Source DF SS MS F p
Factor 3 13.500 4.500 5.17 0.011
Error 16 13.925 0.870
Total 19 27.425
A) 3.06
B) 5.42
C) 3.24
D) 8.70