# 9.6: Chapter 9 Formula Review

- Page ID
- 6094

**9.3** Distribution Needed for Hypothesis Testing

**9.3**Distribution Needed for Hypothesis Testing

Sample size | Test statistic |
---|---|

< 30 (\(\sigma\) unknown) | \(t_{c}=\frac{\overline{X}-\mu_{0}}{s / \sqrt{n}}\) |

< 30 (\(\sigma\) known) | \(Z_{c}=\frac{\overline{X}-\mu_{0}}{\sigma / \sqrt{n}}\) |

> 30 (\(\sigma\) unknown) | \(Z_{c}=\frac{\overline{X}-\mu_{0}}{s / \sqrt{n}}\) |

> 30 (\(\sigma\) known) | \(Z_{c}=\frac{\overline{X}-\mu_{0}}{\sigma / \sqrt{n}}\) |

**Table****9.6** Test Statistics for Test of Means, Varying Sample Size, Population Known or Unknown