Select the method or formula of your choice.

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

sample mean | |

t _{ α/2} | inverse cumulative probability of a t distribution with n-1 degrees of freedom at 1-α/2 |

α | 1 – confidence level/100 |

s | sample standard deviation |

n | sample size |

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

sample mean | |

μ _{0} | hypothesized population mean |

s | sample standard deviation |

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 |

t | t-statistic of the sample data |

t_{n-1} | a random variable from the t-distribution with n-1 degrees of freedom |

n | sample size |