Sampling Distributions:
Statistics Formulas for Populations Mean Sample Equals Mean Population.
Statistics Formulas for Populations Standard Deviation of Sample Proportion Equals Standard Deviation of Population Proportion.
Statistics Formulas for Populations Sample Proportion Equals Population Proportion.
Statistics Formulas for Populations Standard Deviation of Sample Proportion Equals Standard Deviation of Population Proportion.
Inference about a single population mean:
CONDITIONS
CONFIDENCE INTERVAL
TEST STATISTIC
Sigma the symbol used for the Population Standard Deviation. known, large sample
or normal population
Statistics Formulas Confidence Interval for a Population Mean.
Statistics Formulas Test Statistic for a Population.
Sigma the symbol used for the Population Standard Deviation. unknown,
large sample
Statistics Formulas Confidence Interval for a Sample Mean.
Statistics Formulas Test Statistic for a Sample Mean.
Sigma the symbol used for the Population Standard Deviation. unknown, small sample,
normal population
Statistics Formulas Confidence Interval for a Small Sample Mean.
Statistics Formulas Degrees of Freedom N Minus One.
Statistics Formulas Test Statistic for a Small Sample Mean.
Inference about a population proportion:
large sample
Statistics Formulas Confidence Interval for a Population Proportion.
Statistics Formulas Test Statistic for a Population Proportion.
Inference about two population means:
CONDITIONS
CONFIDENCE INTERVAL
TEST STATISTIC
independent samples,
Sigma the symbol used for the Population Standard Deviation.'s known. large sample
or normal populations
Statistics Formulas Confidence Interval for the Difference in Population Means.
Statistics Formulas Test Statistic for the Difference in Population Means.
independent samples,
Sigma the symbol used for the Population Standard Deviation.'s unknown. large sample
Statistics Formulas Confidence Interval for the Difference in Sample Means.
Statistics Formulas Test Statistic for the Difference in Sample Means.
independent samples,
Sigma the symbol used for the Population Standard Deviation.'s unknown but assumed
equal, small samples, normal populations
Statistics Formulas Confidence Interval for the Difference in Small Sample Pooled Means.
Statistics Formulas Degrees of Freedom N1 Plus N2 Minus One.
Statistics Formulas Test Statistic for the Difference in Small Sample Means.
  Statistics Formulas Variance of a Pooled Sample.  
paired samples,
Sigma the symbol used for the Population Standard Deviation.'s unknown, small samples,
normal population of differences
Statistics Formulas Confidence Interval for a Paired Difference.
Statistics Formulas Test Statistic for a Paired Difference.
Sample size formulas:
for population mean: Statistics Formulas Required Sample Size for a Population. , for population proportion: Statistics Formulas Required Sample Size for a Proportion. where
B is a bound of a confidence interval