[See Solution] Let X̄ denote the mean of a random sample of size 128 from the gamma distribution f(x)= \begincases(1)/(Gamma(α) β^0) x^alpha-1
Question: Let \(\bar{X}\) denote the mean of a random sample of size 128 from the gamma distribution
\[f(x)= \begin{cases}\frac{1}{\Gamma(\alpha) \beta^{0}} x^{\alpha-1} e^{-x / \beta}, & \text { if } 0
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