9.3 Distribution Needed for Hypothesis Testing Sample size Test statistic (\(\sigma\) unknown) \(t_{c}=\frac{\overline{X}-\mu_{0}}{s / \sqrt{n}}\) (\(\sigma\) known) \(Z_{c}=\frac{\overline{X}-\mu_{0}...9.3 Distribution Needed for Hypothesis Testing Sample size Test statistic (\(\sigma\) unknown) \(t_{c}=\frac{\overline{X}-\mu_{0}}{s / \sqrt{n}}\) (\(\sigma\) known) \(Z_{c}=\frac{\overline{X}-\mu_{0}}{\sigma / \sqrt{n}}\) Table \(\PageIndex{6}\) Test Statistics for Test of Means, Varying Sample Size, Population Known or Unknown
