| Row | Alternative Hypothesis | Test | Statistics | p-value | Decision |
| 01 | The distribution of the Inefficiency scores from model 1 is normal. | Shapiro-Wilk test | 0.698 | 0.000 | H0* rejected |
| 02 | The distribution of the Inefficiency scores from model 2 is normal. | 0.934 | 0.000 | H0 rejected | |
| 03 | Inefficiency scores from model 1 are greater than those from model 2. | Wilcoxon matched-pairs signed-rank test | 393,127 | 0.000 | H0 rejected |
| 04 | Inefficiency scores from income group 1 are greater than those from group 2 | Mann Whitney test | 134,793 | 0.000 | H0 rejected |