Let denote the mean of a sample of size 100 taken from a
Chapter 8, Problem 127SE(choose chapter or problem)
Let \(\bar{Y}\) denote the mean of a sample of size 100 taken from a gamma distribution with known \(\alpha=c_{0}\) and unknown \(\beta\). Show that an approximate \(100(1-\alpha) \%\) confidence interval for \(\beta\) is given by
\(\left(\frac{\bar{Y}}{c_{0}+.1 z_{\alpha / 2} \sqrt{c_{0}}},
\frac{\bar{Y}}{c_{0}-.1 z_{\alpha / 2} \sqrt{c_{0}}}\right)\)
Equation Transcription:
Text Transcription:
\bar Y
\alpha =c0
\beta
100(1- \alpha)%
\beta
\left(\frac \bar Y c_0+.1 z_\alpha / 2 \sqrt c_0, \frac\bar Yc_0-.1 z_\alpha / 2 \sqrt c_0)
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