25. Let X₁,. Xn be a sample from a population with o² = Var(X) < ∞, µ = E(X) and let T = X² be an estimate of μ². (a) When μ ‡ 0, find the asymptotic distribution of √n(T-µ²) using the delta method. fl (b) When μ = 0, find the asymptotic distriution of nT using P(nT ≤ t) = P(-√t ≤ √nX ≤ √t). Compare your answer to the answer in part (a). (c) Find the limiting laws of √n(X − µ)² and n(Ỹ − µ)².

In 1951, wild turkeys were harvested in only two counties in Tennessee. Through intensive restoration efforts, wildlife officials were able to restore turkeys to all 95 counties by 1995. The figure shows the rate-of-change graph of Tennessee counties with wild turkeys. c'(x) counties per year х уears since 1950 27.4 (a) What are the units on the area of the region between the graph of c' and the x-axis? O years O counties O counties per year (b) Write a sentence interpreting the behavior of c' at x = 27.4. The number of counties with wild turkeys in Tennessee was ---Select--- ---Select--- in mid 1978. (c) What does the area of the region between the graph of c' and the x-axis from c = 0 to c = 27.4 represent? The area represents the ---Select--- in the number of counties with wild turkeys from 1950 to mid 1978.