Question: A random sample X 1 , X 2 , X 3 , . . ., X 100 is given from a distribution with known variance

A random sample X₁, X₂, X₃, . . ., X₁₀₀ is given from a distribution with known variance Var(Xi) = 81. For the observed sample, the sample mean is X̅ = 50.1. Find an approximate 95% confidence interval for θ = EX_i.

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