For large n, the sampling distribution of S is some-times approximated with a normal distribution having the

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For large n, the sampling distribution of S is some-times approximated with a normal distribution having the mean σ and the variance σ2/2n (see Exercise 8.28 on page 250). Show that this approximation leads to the following (1 €“ σ) 100% large- sample confidence interval for σ:
For large n, the sampling distribution of S is some-times
Distribution
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