1. Assume there are a population size N = 6 with units (2,4,6,8, 10, 12), and out of whichsample size n = 5 units are to be selected based on simple random sampling withoutreplacement.a. Prove that the mean of the sample is unbiased estimator for the population mean.b. Find the mean and variance of the random variable Y = (*/) + 10, wheresi = (x;-1)² is unbiased estimator of the variance of the random sample X22-1to the population variance, and X is the population mean.2. Prove that the simple random sampling without replacement is more efficient than simplerandom sampling with replacement.

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Description: 1. Assume there are a population size N = 6 with units (2,4,6,8, 10, 12), and out of whichsample size n = 5 units are to be selected based on simple random sampling withoutreplacement.a. Prove that the mean of the sample is unbiased estimator for th

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2. Prove that the simple random sampling without replacement is more efficient than simple random sampling with replacement.

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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