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Q38Section I (Objective (Q1–Q80))38 of 80

Statistical Inference — distribution of the standardized sample mean

Let x1,x2,x3,...,xnx_1, x_2, x_3, ..., x_n be a random sample from a Normal population with mean μ0\mu_0 and variance σ2\sigma^{2}. If Xˉ\bar{X} is the sample mean, then the distribution of Xˉ−μ0(σ/n)\frac{\bar{X}-\mu_0}{(\sigma/\sqrt{n})} is:

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