Select the method or formula of your choice.

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

s _{d} | |

Σd / n | |

d | x_{1} - x_{2} and x_{1} and x_{2} are paired observations from populations 1 and 2, respectively |

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

α | 1 - confidence level/100 |

n | number of pairs of values |

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

μ_{0} | hypothesized population mean of the differences |

mean of the paired sample differences | |

s _{d} | sample standard deviation of the paired sample differences |

n | sample size |

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

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

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

μ_{d} | population mean for the sample of differences |

μ_{0} | hypothesized population mean for the sample of differences |

t | t-statistic of the sample data |

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

n | the sample size of the differences |