a 95% confidence interval for ? 2.b 95% upper confidence
Chapter 8, Problem 41E(choose chapter or problem)
Suppose that is normally distributed with mean 0 and unknown variance \(\sigma^{2}\). Then \(Y^{2} / \sigma^{2}\) has a \(\chi^{2}\) distribution with 1 df. Use the pivotal quantity
\(Y^{2} / \sigma^{2}\) to find a
a. confidence interval for \(\sigma^{2}\).
b. upper confidence limit for \(\sigma^{2}\).
c. lower confidence limit for \(\sigma^{2}\).
Equation Transcription:
Text Transcription:
\sigma^2
Y2/\sigma^2
\chi^2
Y2/\sigma^2
95%
\sigma^2
95%
\sigma^2
95%
\sigma^2
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