# Question: Let Y be 2 n Use the central limit theorem to

Let Y be χ2(n). Use the central limit theorem to demonstrate that W = (Y − n)/√2n has a limiting cdf that is N(0, 1).

## Relevant Questions

In 1985, Kent Hrbek of the Minnesota Twins and Dion James of the Milwaukee Brewers had the following numbers of hits (H) and official at bats (AB) on grass and artificial turf: (a) Find the batting average BA (namely, H/AB) ...When you purchase “1-pound bags” of carrots, you can buy either “baby” carrots or regular carrots. We shall compare the weights of 75 bags of each of these types of carrots. The following table gives the weights of ...In the expression for gr(y) = G’r(y) in Equation 6.3-1, let n = 6, and r = 3, and write out the summations, showing that the “telescoping” suggested in the text is achieved. In equation 6.3-1 A random sample X1, X2, ... , Xn of size n is taken from N( μ, σ2), where the variance θ = σ2 is such that 0 < θ < ∞ and μ is a known real number. Show that the maximum likelihood estimator for θ is and that this ...Find the Rao–Cramér lower bound, and thus the asymptotic variance of the maximum likelihood estimator θ, if the random sample X1, X2, . . . , Xn is taken from each of the distributions having the following pdfs: (a) f(x; ...Post your question