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Suppose that (x1,...,xn)is a sample from an N ( ) distribution, where is unknown and is...

Suppose that (x1,...,xn)is a sample from an N (\mu ,\sigma_{0} ^{2} ) distribution, where \mu \epsilon \mathbb{R}^{^{1}} is unknown and \sigma _{0}^{2} is known. Determine a UMVU estimator of the first quartile \mu +\sigma _{0}z_{0.25}

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