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Let $X_1, \\ldots, X_n \\overset{iid}{\\sim} X$

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Where $\\mbox{E}[X] = \\mu \\mbox{ and } Var[X] = \\sigma^2$

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Let $W = \\frac{\\overline{X}-\\mu}{\\sigma/ \\sqrt{n}}$

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The central limit theorem says that as $n\\to \\infty$ , $W$ converges in distribution to what?

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Let $X_1, \\cdots, X_n \\overset{iid}{\\sim} X$
Where $\\mbox{E}[X] = \\mu \\mbox{ and } Var[X] = \\sigma^2$
Let $W = \\frac{\\overline{X}-\\mu}{\\sigma/ \\sqrt{n}}$
$ W \\overset{\\text{d}}{\\to} N(0, 1) \\mbox{ as } n \\to \\infty$

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