Let X1,...,X7 be a random sample from a population with mean µ and variance σ2. Consider the following estimators for µ: ˆ Θ1 = X1 +···+ X7 7 , ˆ Θ2 = 2X1 −X6···+ X4 2 . Compute the variance of the estimators. A. V[ˆ Θ1] = σ2/7, V[ˆ Θ2] = 3σ2/2 B. V[ˆ Θ1] = 3σ2/2, V[ˆ Θ2] = 3σ2/7 C. V[ˆ Θ1] = σ2/49, V[ˆ Θ2] = 3σ2/2 D. V[ˆ Θ1] = σ2/49, V[ˆ Θ2] = 3σ2/2 E. none of the above

Let X1,...,X7 be a random sample from a population with mean µ and variance σ2. Consider the following estimators for µ: ˆ Θ1 = X1 +···+ X7 7 , ˆ Θ2 = 2X1 −X6···+ X4 2 . Compute the variance of the estimators. A. V[ˆ Θ1] = σ2/7, V[ˆ Θ2] = 3σ2/2 B. V[ˆ Θ1] = 3σ2/2, V[ˆ Θ2] = 3σ2/7 C. V[ˆ Θ1] = σ2/49, V[ˆ Θ2] = 3σ2/2 D. V[ˆ Θ1] = σ2/49, V[ˆ Θ2] = 3σ2/2 E. none of the above

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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