Minimum Sample Size
Population Size105
Margin of Error1
Confidence0.9
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)26.5359777294952
Minimum Sample Size (1 sided test)17.8845278316286


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.9
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)35.1720649032404
Minimum Sample Size (1 sided test)21.3508673969476


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error1
Confidence0.9
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.70676309978817
t(alpha) + t(beta)1.33374818087456
Minimum Sample Size (2 sided test)28.0278658796924
Minimum Sample Size (1 sided test)19.1006292781141


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.9
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.6906858682228
t(alpha) + t(beta)1.3245604559965
Minimum Sample Size (2 sided test)37.1594431651079
Minimum Sample Size (1 sided test)22.8079852206656