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Q8Section A (Section A)8 of 60

Variance of a normal sample variance

Let X1,X2,…,X10X_{1},X_{2},…,X_{10} be a random sample from N(1,2)N(1,2) distribution. If Xˉ=110∑i=110XiandS2=19∑i=110(Xi−Xˉ)2,\bar{X}=\frac{1}{10}\sum_{i=1}^{10}X_{i}\quad\text{and}\quad S^{2}=\frac{1}{9}\sum_{i=1}^{10}(X_{i}-\bar{X})^{2}, then Var⁡(S2)\operatorname{Var}(S^{2}) equals

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