| Minimum Sample Size | |
| Population Size | 20000 |
| Margin of Error | 1 |
| Confidence | 0.95 |
| Power | 0.85 |
| Population Variance | 13 |
| z(alpha/2) + z(beta) | 2.99639737403384 |
| z(alpha) + z(beta) | 2.68128701644526 |
| Minimum Sample Size (2 sided test) | 116.047716663278 |
| Minimum Sample Size (1 sided test) | 93.0308151903376 |
| Minimum Sample Size (for Infinite Populations) | |
| Population Size | infinite |
| Margin of Error | 1 |
| Confidence | 0.95 |
| Power | 0.85 |
| Population Variance | 13 |
| z(alpha/2) + z(beta) | 2.99639737403384 |
| z(alpha) + z(beta) | 2.68128701644526 |
| Minimum Sample Size (2 sided test) | 116.71916390052 |
| Minimum Sample Size (1 sided test) | 93.4609008392531 |
| Minimum Sample Size (Unknown Population Variance) | |
| Population Size | 20000 |
| Margin of Error | 1 |
| Confidence | 0.95 |
| Power | 0.85 |
| Population Variance | unknown |
| t(alpha/2) + t(beta) | 3.02192488082211 |
| t(alpha) + t(beta) | 2.70388610778786 |
| Minimum Sample Size (2 sided test) | 118.021735180091 |
| Minimum Sample Size (1 sided test) | 94.5981862240347 |
| Minimum Sample Size (Infinite Population, Unknown Population Variance) | |
| Population Size | infinite |
| Margin of Error | 1 |
| Confidence | 0.95 |
| Power | 0.85 |
| Population Variance | unknown |
| t(alpha/2) + t(beta) | 3.02177538804144 |
| t(alpha) + t(beta) | 2.7037800450001 |
| Minimum Sample Size (2 sided test) | 118.704644445049 |
| Minimum Sample Size (1 sided test) | 95.0355449126293 |
