| Testing Mean with known Variance | |
| sample size | 100 |
| population variance | 0.25 |
| sample mean | 11.85 |
| null hypothesis about mean | 12 |
| type I error | 0.01 |
| critical value (one-tailed) | 11.8836826062980 |
| confidence interval (two-tailed) (sample mean) | [ 11.7212085348226 , 11.9787914651774 ] |
| conclusion for one-tailed test | |
| Reject the null hypothesis. | |
| conclusion for two-tailed test | |
| Reject the null hypothesis | |