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Confidence Intervals for a Random Sample : Chi-Square Test

Let x1,...,x20 be a random sample from N(μ, σ^2) where σ^2 s estimated by s^2. If a 90% CI for μ is (19.170, 21.138)
a. Obtain a 95% CI for σ^2.

b. Obtain a 95% prediction interval for a new single observation.

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Confidence Intervals for a Random Sample are investigated. The solution is detailed and well presented.

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