Let X₁***XYX be a random sample from a population with mean μ, and variance of o2. LetnmY,,... Y be a random sample from a population with mean μ and variance o. We will alsoassume that the Xs and Ys are independent of each other.6.15.87.8 8.17.87.1 7.29.26.68.3 7.0 8.37.4 8.5 8.9 9.8 9.7 14.1 12.6 11.21. Show that X - Y is an unbiased estimator for μ₁ - ₂.2. Find the variance of X - Y.3. Show whether X - Y is a consistent estimator for μ₁ −μ₂. Hint: Both sample sizes mustbecome large.

Let X₁, ..., X be a random sample from a population with mean μ, and variance of o. Let 1' m Y₁, Y be a random sample from a population with mean μ₂ and variance o. We will also assume that the Xs and Ys are independent of each other. *** X Y 7.2 9.2 6.6 6.1 5.8 7.1 7.8 7.8 8.1 7.4 8.5 8.9 9.8 9.7 8.3 7.0 8.3 14.1 12.6 11.2 1. Show that X - Y is an unbiased estimator for μ₁ - ₂. 2. Find the variance of X - Y. 3. Show whether X - Y is a consistent estimator for μ-₂. Hint: Both sample sizes must become large.

Let X₁, ..., X be a random sample from a population with mean μ, and variance of o. Let 1' m Y₁, Y be a random sample from a population with mean μ₂ and variance o. We will also assume that the Xs and Ys are independent of each other. *** X Y 7.2 9.2 6.6 6.1 5.8 7.1 7.8 7.8 8.1 7.4 8.5 8.9 9.8 9.7 8.3 7.0 8.3 14.1 12.6 11.2 1. Show that X - Y is an unbiased estimator for μ₁ - ₂. 2. Find the variance of X - Y. 3. Show whether X - Y is a consistent estimator for μ-₂. Hint: Both sample sizes must become large.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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