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Difference between F-test and confidence intervals on variance estimates
Given n samples from a normally-distributed variable X, we estimate variance as $s^2=\frac{1}{n-1}\sum{(x_i - \bar{x})^2}$. We can also get a confidence interval for such a variance estimate as:
$$...
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Which one is the correct formula of confidence interval of variance?
I got the following formula of confidence interval of variance in this site
$$\frac{(n-1)s^2}{\chi^2_{1-(\alpha/2),n-1}}<\sigma^2<\frac{(n-1)s^2}{\chi^2_{(\alpha/2),n-1}}$$
And this following ...