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Question 4 Consider a population with mean u and variance o2 < 0. We collect an IID sample x1,..., xT and estimate the mean of the population u using an estimator OT with the following properties: 202 E(@T) = µ and v(@r) = T Which of the following is the best answer? A) The estimator 0T is the sample mean multiplied by v2 B) The estimator is consistent for u, like the sample mean, and equally efficient since V(0T) goes to zero. C) There is not enough information to say whether the estimator is consistent for u D) The estimator is consistent for u and is not the sample mean

Question 4 Consider a population with mean u and variance o2 < 0. We collect an IID sample x1,..., xT and estimate the mean of the population u using an estimator OT with the following properties: 202 E(@T) = µ and v(@r) = T Which of the following is the best answer? A) The estimator 0T is the sample mean multiplied by v2 B) The estimator is consistent for u, like the sample mean, and equally efficient since V(0T) goes to zero. C) There is not enough information to say whether the estimator is consistent for u D) The estimator is consistent for u and is not the sample mean

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question 4 Consider a population with mean u and variance o? < 0. We collect an IID sample x1, ..., xT and estimate the mean of the population u using an estimator OT with the following properties: 202 E(@r) = and V(Or) = T Which of the following is the best answer? A) The estimator 0T is the sample mean multiplied by v2 B) The estimator is consistent for u, like the sample mean, and equally efficient since V(0T) goes to zero. C) There is not enough information to say whether the estimator is consistent for u D) The estimator is consistent for u and is not the sample mean
Transcribed Image Text:Question 4 Consider a population with mean u and variance o? < 0. We collect an IID sample x1, ..., xT and estimate the mean of the population u using an estimator OT with the following properties: 202 E(@r) = and V(Or) = T Which of the following is the best answer? A) The estimator 0T is the sample mean multiplied by v2 B) The estimator is consistent for u, like the sample mean, and equally efficient since V(0T) goes to zero. C) There is not enough information to say whether the estimator is consistent for u D) The estimator is consistent for u and is not the sample mean
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