Select the method or formula of your choice.

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

mean of the i^{th} resample | |

B | number of resamples |

N | number of observations in the original sample |

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

mean of the resamples | |

B | number of resamples |

mean of the i^{th} resample |

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

**Mean less than hypothesized value:****Mean not equal to hypothesized value:****Mean greater than hypothesized value:**

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

l | number of bootstrap means that are less than or equal to the sample mean |

u | number of bootstrap means that are greater than or equal to the sample mean |

β | number of resamples |

n_{l} | number of bootstrap means that are less than or equal to μ_{0} − d |

n_{u} | number of bootstrap means that are greater than or equal to μ_{0} + d |

μ_{0} | hypothesized value |

d | |

mean of the observed sample |