Minimum Sample Size
Population Size63
Margin of Error1
Confidence0.95
Power0.95
Population Variance13.78
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)46.7970426668643
Minimum Sample Size (1 sided test)44.4995110632913


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Variance13.78
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)179.067103967006
Minimum Sample Size (1 sided test)149.129555189739


Minimum Sample Size (Unknown Population Variance)
Population Size63
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.69194966402105
t(alpha) + t(beta)3.3612916302613
Minimum Sample Size (2 sided test)47.3652548145264
Minimum Sample Size (1 sided test)45.0570798207238


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error1
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.62683166505719
t(alpha) + t(beta)3.31041077457645
Minimum Sample Size (2 sided test)181.260851229395
Minimum Sample Size (1 sided test)151.012532660831