Mathematics, 13.12.2019 02:31 blake2001
Suppose the true average growth µ of one type of plant during a 1–year period is identical to that of a second type, but the variance of growth for the first type is σ2, whereas for the second type, the variance is 4σ2. let x1, be m independent growth observations of the first type, and let y1, be n independent growth observations on the second type.(a) what are the values of e[xi], var(xi), e[yj], and var() show that for any δ between 0 and 1, the estimator ˆ µ = δ ¯ xm + (1−δ)¯ yn is unbiased for µ.(c) for fixed m and n, compute var(ˆ µ), and then find the value of δ the minimizes var(ˆ µ).
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