3.Consider two sampling designs, drawn from the same population of N = 1,800,000elements.Design 1: A simple random sample of n = 3,600 was takenDesign 2: A random sample of a = 180 was selected from A = 90,000 clusters, each%3D%3Dcontaining B = 20 elements%3DDesign 1 had a sample mean of 513 with estimated standard error of 3.3, while Design 2 hada sample mean of 524 with estimated standard error of 10.1 Compare the two samplingdesigns by answering the following questions with TRUE or FALSE. Support your answer byproviding justifications and/or numerical solutions(a) The intraclass correlation of the 90,000 clusters is greater than zero.(b) The means of the two sampling distributions (designs 1 & 2) for a mean of a givencharacteristic of interest coincide exactly.(c) The standard error of the second design will reduce to that of the first by a large increasein the number of sample clusters in the second design.(d) Elements tend to resemble other elements in the same cluster in terms of the variable ofinterest.(e) If the sample of the first design were cut to 1,200 elements, it would have about the samestandard error as the second design.

Solution: As per the guidelines only first three sub parts should be answered. If the remaining…

Answered: Consider two sampling designs, drawn…

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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