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Q20Section A (Section A)20 of 60

Constant for a confidence interval of a normal variance

Let X1,X2X_1,X_2 be a random sample from an N(0,θ)N(0,\theta) distribution, where θ>0\theta>0. Then the value of kk, for which the interval (0,X12+X22k)\left(0,\dfrac{X_1^2+X_2^2}k\right) is a 95%95\% confidence interval for θ\theta, equals

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