Minimum Sample Size
Population Size163
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.87
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)157.36270213602
Minimum Sample Size (1 sided test)156.277694263907


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.87
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)4522.15908421757
Minimum Sample Size (1 sided test)3766.11648810081


Minimum Sample Size (Unknown Population Variance)
Population Size163
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.62990875737497
t(alpha) + t(beta)3.30945196037063
Minimum Sample Size (2 sided test)157.437716312881
Minimum Sample Size (1 sided test)156.354407077005


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.60567955394668
t(alpha) + t(beta)3.29051686838474
Minimum Sample Size (2 sided test)4524.32191592069
Minimum Sample Size (1 sided test)3767.97043887132