Four randomly selected households are surveyed as a pilot project for a larger survey to be conducted later. The numbers of people in the households are any four numbers of your choice between 10 and 20. Consider those values chosen to be a population. Assume that samples of size n = 2 are randomly selected with replacement from the population of the values you chose. Design a table with all the possibilities.(i) Find the median of each of the samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution. (ii) Compare the population median to the mean of the sample medians. (iii) Do the sample medians target the value of the population median? In general, do medians make good estimators of population median? Why or why not?

Four numbers between 10 and 20 are selected using random numbers. The numbers are 11,12,15,20 Thus…

Answered: Four randomly selected households are…

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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Four randomly selected households are surveyed as a pilot project for a larger survey to be conducted later. The numbers of people in the households are any four numbers of your choice between 10 and 20. Consider those values chosen to be a population. Assume that samples of size n = 2 are randomly selected with replacement from the population of the values you chose. Design a table with all the possibilities.

(i) Find the median of each of the samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution. (ii) Compare the population median to the mean of the sample medians. (iii) Do the sample medians target the value of the population median? In general, do medians make good estimators of population median? Why or why not?

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