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9.6: Chapter 9 Formula Review

  • Page ID
    6094
  • 9.3 Distribution Needed for Hypothesis Testing

    Sample sizeTest 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)
    \(Z_{c}=\frac{\overline{X}-\mu_{0}}{\sigma / \sqrt{n}}\)

    Table9.6 Test Statistics for Test of Means, Varying Sample Size, Population Known or Unknown