Minimum Sample Size
Population Size98
Margin of Error21
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)0.114274301546551
Minimum Sample Size (1 sided test)0.0805112703763806


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error21
Confidence0.95
Power0.5
Population Variance13
z(alpha/2) + z(beta)1.95996398454005
z(alpha) + z(beta)1.64485362695147
Minimum Sample Size (2 sided test)0.113240282696199
Minimum Sample Size (1 sided test)0.0797552492136969


Minimum Sample Size (Unknown Population Variance)
Population Size98
Margin of Error21
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)NaN
t(alpha) + t(beta)NaN
Minimum Sample Size (2 sided test)NaN
Minimum Sample Size (1 sided test)NaN


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error21
Confidence0.95
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)NaN
t(alpha) + t(beta)NaN
Minimum Sample Size (2 sided test)NaN
Minimum Sample Size (1 sided test)NaN