Statistics/Summary, Study Guide and Formulas

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One and two-sample Estimation Problems

Term	Formula	Definition
A Statistic	${\hat {\Theta }}$
Unbiased estimator	$\mu _{\hat {\Theta }}{=}E({\hat {\Theta }}){=}\theta$	of parameter $\theta$
most efficient estimator		estimator with smallest variance
sample size	confidence that error less than e when sample size is	$n{=}({z_{\alpha /2}\sigma \over e})^{2}$
confidance interval		${\bar {x}}-z_{\alpha /2}{\sigma \over {\sqrt {n}}}<\mu <{\bar {x}}+z_{\alpha /2}{\sigma \over {\sqrt {n}}}$

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