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Q24Section I (Objective (Q1–Q80))24 of 80

Statistics — distribution of the sample variance

Let (X1,X2,…,Xn)(X_1,X_2,\dots,X_n) be a random sample from N(μ,σ2)N(\mu,\sigma^2), then the distribution of ns2σ2\dfrac{ns^2}{\sigma^2}, where s2=1n∑i=1n(Xi−Xˉ)2s^2=\dfrac1n\sum_{i=1}^n(X_i-\bar X)^2, is

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