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If a sample equal to 20% of the population size is to be drawn using equal allocation, what should be the sizes of the sample to be drawn from each stratum

If a sample equal to 20% of the population size is to be drawn using equal allocation, what should be the sizes of the sample to be drawn from each stratum

MATLAB: An Introduction with Applications
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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A market researcher plans to conduct a satisfaction survey where she selects sample units by means of stratified random sampling. She divides the population into five categories or strata with sizes 600, 200, 400, 500, and 300. If a sample equal to 20% of the population size is to be drawn using equal allocation, what should be the sizes of the sample to be drawn from each stratum

A. ?1 = 90, ?2 = 60, ?3 = 90, ?4 = 90, ?5 = 70
B. ?1 = 100, ?2 = 100, ?3 = 100, ?4 = 100, ?5 = 100
C. ?1 = 100, ?2 = 40, ?3 = 80, ?4 = 120, ?5 = 60
D. ?1 = 80, ?2 = 80, ?3 = 80, ?4 = 80, ?5 = 80

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