5.6: Chapter 5 Formula Review
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- 79031
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5.1 The Central Limit Theorem for Sample Means
The Central Limit Theorem for Sample Means:
\(\overline{x} \sim N\left(\mu_{\overline{x}}, \frac{\sigma}{\sqrt{n}}\right)\)
Mean \(\overline{x}: \mu_{\overline x}\)
Standard Error of the Mean (Standard Deviation): \(\sigma_{\overline{x}} = \frac{\sigma}{\sqrt{n}}\)
Central Limit Theorem for Sample Means z-score: \(z=\frac{\overline{x}-\mu_{\overline{x}}}{\sigma_{x}}=\frac{\overline{x}-\mu}{\sigma / \sqrt{n}}\)