In: Statistics and Probability
| Chapter 12 ANOVA | ||||
| Ho: | The means are all equal | |||
| H1: | The means are not all equal | |||
| Samples: | 2 wks | 4 wks | 8 wks | |
| 118 | 130 | 126 | ||
| 126 | 120 | 136 | ||
| 126 | 114 | 128 | ||
| 120 | 126 | 146 | ||
| 129 | 128 | 140 | ||
| Sample count | ||||
| Sample Means | ||||
| Sample Variances | ||||
| Alpha | 0.05 | |||
| Total sample count | ||||
| Grand mean | ||||
| Var between groups | ||||
| Var within groups | ||||
| F-statistic | ||||
| P-value | ||||
| Conclusion: | ||||




H0 : The means are all equal.
H1 : The means are not all equal.
F(2,12) at 0.05 level of significance
=3.8853
As calculated F=4.9655>3.8853
So, H0 is rejected, Hence there is significant differentiating
between samples and the means are not all equal.