One-sample t statistic

For an i.i.d. sample X₁, …, Xₙ ~ N(μ, v) with n ≥ 2 and v > 0, √n (X̄ - μ) / S with S² = ∑ (Xᵢ - X̄)² / (n - 1) has the Student t law with n - 1 degrees of freedom.

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