| Minimum Sample Size | |
| Population Size | 20000 |
| Margin of Error | 0.05 |
| Confidence | 0.95 |
| Power | 0.85 |
| Population Variance | 0.13 |
| z(alpha/2) + z(beta) | 2.99639737403384 |
| z(alpha) + z(beta) | 2.68128701644526 |
| Minimum Sample Size (2 sided test) | 456.248870701839 |
| Minimum Sample Size (1 sided test) | 367.001888038262 |
| Minimum Sample Size (for Infinite Populations) | |
| Population Size | infinite |
| Margin of Error | 0.05 |
| Confidence | 0.95 |
| Power | 0.85 |
| Population Variance | 0.13 |
| z(alpha/2) + z(beta) | 2.99639737403384 |
| z(alpha) + z(beta) | 2.68128701644526 |
| Minimum Sample Size (2 sided test) | 466.876655602079 |
| Minimum Sample Size (1 sided test) | 373.843603357012 |
| Minimum Sample Size (Unknown Population Variance) | |
| Population Size | 20000 |
| Margin of Error | 0.05 |
| Confidence | 0.95 |
| Power | 0.85 |
| Population Variance | unknown |
| t(alpha/2) + t(beta) | 3.00280384888115 |
| t(alpha) + t(beta) | 2.68693142468751 |
| Minimum Sample Size (2 sided test) | 458.157190084261 |
| Minimum Sample Size (1 sided test) | 368.520173129416 |
| Minimum Sample Size (Infinite Population, Unknown Population Variance) | |
| Population Size | infinite |
| Margin of Error | 0.05 |
| Confidence | 0.95 |
| Power | 0.85 |
| Population Variance | unknown |
| t(alpha/2) + t(beta) | 3.00265736657203 |
| t(alpha) + t(beta) | 2.68682761983067 |
| Minimum Sample Size (2 sided test) | 468.829465573521 |
| Minimum Sample Size (1 sided test) | 375.390218251617 |
