Sampling Distributions: | |||

Inference about a single population mean: | ||

CONDITIONS | CONFIDENCE INTERVAL |
TEST STATISTIC |

known, large sample or normal population |
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unknown, large sample |
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unknown, small sample, normal population |

Inference about a population proportion: | ||

large sample |

Inference about two population means: | ||

CONDITIONS | CONFIDENCE INTERVAL |
TEST STATISTIC |

independent samples, 's known. large sample or normal populations |
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independent samples, 's unknown. large sample |
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independent samples, 's unknown but assumed equal, small samples, normal populations |
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paired samples, 's unknown, small samples, normal population of differences |

Sample size formulas: | ||||

for population mean: | , for population proportion: | where | ||

B is a bound of a confidence interval |