Let S2 be the variance of a random sample of size n from N(μ, Ï2). Using the

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Let S2 be the variance of a random sample of size n from N(μ, σ2). Using the fact that (n ˆ’ 1)S2/σ2 is χ2(nˆ’1), note that the probability
Let S2 be the variance of a random sample of

Where

Let S2 be the variance of a random sample of

Rewrite the inequalities to obtain

Let S2 be the variance of a random sample of

If n = 13 and

Let S2 be the variance of a random sample of

Show that [6.11, 24.57] is a 90% confidence interval for the variance σ2. Accordingly, [2.47, 4.96] is a 90% confidence interval for σ.

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Probability And Statistical Inference

ISBN: 579

9th Edition

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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