Let S2 be the variance of a random sample of size n from N(μ, Ï2). Using the
Question:
Where
Rewrite the inequalities to obtain
If n = 13 and
Show that [6.11, 24.57] is a 90% confidence interval for the variance Ï2. Accordingly, [2.47, 4.96] is a 90% confidence interval for Ï.
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a = χ2-a/2(n-1 ) and b = X2/2 (n-1 ). P (n-1)S2 < σ2 < (n-1)S2 = 1-α. 125-= Σ21 (xi-x)-= 128.41.
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Pa n 1S 2 2 b 1 Pn 1S 2 b 2 n 1S 2 a 1 Letting a X 2 12 n ...View the full answer
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Related Book For
Probability and Statistical Inference
ISBN: 978-0321923271
9th edition
Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
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