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Competitive Stats
Q23Section I (Objective (Q1–Q80))23 of 80

Statistical Inference — width of confidence interval for mean

Let X1,X2,X3,…,XnX_1, X_2, X_3, …, X_n be iid random variables such that Xi∼N(μ,σ2)X_i \sim N(\mu, \sigma^2). The width of (1−α)(1-\alpha) level confidence interval (X‾−c1,X‾+c2)(\overline{X}-c_1, \overline{X}+c_2) of μ\mu is:

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