Select the method or formula of your choice.

Term | Description |
---|---|

sample mean | |

z _{α/2} | inverse cumulative probability of the standard normal distribution at 1- α /2; α = 1 - confidence level/100 |

σ | population standard deviation (assumed known) |

n | sample size |

Term | Description |
---|---|

sample mean | |

μ _{0} | hypothesized population mean |

σ | population standard deviation (assumed known) |

n | sample size |

The calculation for the p-value depends on the alternative hypothesis.

Alternative Hypothesis | P-value |
---|---|

Term | Description |
---|---|

μ | population mean |

μ_{0} | hypothesized population mean |

z | z-value of the sample data |

Z | a random variable from the standard normal distribution |