ANOVA from output table
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ANOVA: Single Factor
SUMMARY
Groups Count Sum Average Variance
Column 1 70 29296 418.5143 2069.732
Column 2 66 26720 404.8485 1274.254
Column 3 73 29468 403.6712 938.696
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 9546.877 2 4773.438 3.353505 0.036881 3.039723
Within Groups 293224.1 206 1423.418
Total 302771 208
The P value is < α, reject the null hypothesis of equal means and concludes that at least one population means is different from the others.
P- value is 0.03, which is less than the significance level 0.05.
HERE IS MY SECOND PROBLEM
SUMMARY
Groups Count Sum Average Variance
Column 1 9 1194 132.6667 17.5
Column 2 9 1210 134.4444 11.27778
Column 3 9 1243 138.1111 22.61111
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 138.7407 2 69.37037 4.04973 0.030518 3.402832
Within Groups 411.1111 24 17.12963
Total 549.8519 26
The P value is < alpha, reject the null hypothesis of equal means and conclude that at least one population means is different from the others.
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Solution Summary
An ANOVA performed the outputted results given in the problem is done.
Solution Preview
Please see attached file.
Conclusion: Since calculated F test is more than critical value we reject ...
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