Determine the hypothesis test outcome concerning the variance (sigma^{2}) of a Gaussian process; significance (alpha). (a) (H_{1}:

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Determine the hypothesis test outcome concerning the variance \(\sigma^{2}\) of a Gaussian process; significance \(\alpha\).

(a) \(H_{1}: \sigma^{2}<100 . \alpha=0.05\). Data: \(\{92.0,86.3,93.5,111.4,69.8,106.0,97.3\), 78.7, 102.1, 106.6, 72.6, 107.4, 80.8, 87.8, 97.7\}.

(b) \(H_{1}: \sigma^{2}>25 . \alpha=0.02\). We have 100 observations with sample standard deviation \(s_{x}=6.41236\).

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