Minimum Sample Size
Population Size40
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance26.2666666666667
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)39.9613860691688
Minimum Sample Size (1 sided test)39.9451963228382


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Variance26.2666666666667
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)40360.9273427596
Minimum Sample Size (1 sided test)28426.2432243625


Minimum Sample Size (Unknown Population Variance)
Population Size40
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.02275501614897
t(alpha) + t(beta)1.68493280329264
Minimum Sample Size (2 sided test)39.9637440534324
Minimum Sample Size (1 sided test)39.9477691596184


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)1.96002276415938
t(alpha) + t(beta)1.64490723490478
Minimum Sample Size (2 sided test)40363.3482398146
Minimum Sample Size (1 sided test)28428.0961522182