Find the (P %=(1-alpha) 100 %) interval estimates (widehat{I_{alpha}^{mu}}) and (widehat{I_{alpha}^{+}} ; sigma) is known. (a) (sigma_{0}=2).

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Find the \(P \%=(1-\alpha) 100 \%\) interval estimates \(\widehat{I_{\alpha}^{\mu}}\) and \(\widehat{I_{\alpha}^{+}} ; \sigma\) is known.

(a) \(\sigma_{0}=2\). Data: \(\{5.9,5.8,4.8,4.7,1.6,2.8,2.6,5.8,5.1,4.1\} . P \%=90 \%\).

(b) \(\sigma_{0}=\) 12.1. \(\alpha=0.05\). We have 47 observations with \(\bar{x}=66.0085\).

(c) \(\sigma_{0}=3.73 . P \%=99.9 \%\). Statistics: \(n=10000, S_{x}=274046\).

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