from the anova analysis of given data in excel the obtianed output is given below
Anova: Single Factor | ||||||
SUMMARY | ||||||
Groups | Count | Sum | Average | Variance | ||
Column 1 | 6 | 334.8 | 55.8 | 6.136 | ||
Column 2 | 6 | 463.3 | 77.21666667 | 9.665666667 | ||
Column 3 | 6 | 309 | 51.5 | 2.716 | ||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 2277.021111 | 2 | 1138.510556 | 184.4471946 | 2.7485E-11 | 3.68232 |
Within Groups | 92.58833333 | 15 | 6.172555556 | |||
Total | 2369.609444 | 17 |
from output we have the mean square error (MSE) = 6.1725
so correct choice is last option
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