Question: Let X 1 , X 2 , X 3 , . . ., X 100 be a random sample from a distribution with unknown variance

Let X₁, X₂, X₃, . . ., X₁₀₀ be a random sample from a distribution with unknown variance Var(X_i) = σ² <∞. For the observed sample, the sample mean is X̅ = 110.5, and the sample variance is S² = 45.6. Find a 95% confidence interval for θ = EX_i.

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