Statistics/Summary, Study Guide and Formulas

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One and two-sample Estimation Problems

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