9.5: Chapter Formula Review
- Page ID
- 6094
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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) | \(Z_{c}=\frac{\overline{X}-\mu_{0}}{\sigma / \sqrt{n}}\) |