Let X1,X2,X3⋯,XnX1,X2,X3⋯,Xnbe a random sample of n observations
from where N(μ,σ2)N(μ,σ2) is unknown.
5. Let X1, X2, X3 ..., X, be a random sample of n observations from where N (u,02) is unknown. (10 points) A) Show that 2X1+3X2 is an unbiased estimator of 5 u. B) The Rao-Cramer lower bound for the variance of an unbiased estimator of u is one. Find the efficiency for the estimator, Y, found in part (A).
Let X1,X2,X3⋯,XnX1,X2,X3⋯,Xnbe a random sample of n observations from where N(μ,σ2)N(μ,σ2) is unknown.
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