Suppose that you live in a far-away country with only ten citizens (including you). Each citizen has a height, X. The ten possible values of X are: 150 155 163 190 162 148 151 182 175 169 You are chief statistician for the country, and it is your job to estimate the mean µy. Due to budgetary limitations, however, you can only obtain a sample of size n = 3. To obtain a sample, your plan is to put all citizens' names into a hat. You will then randomly select one name, write it down, and then replace it in the hat. You will repeat this, ending up with a list of three names. (Yes, this is done with replacement, you might write your own name three times!) From this sample, you will obtain the mean height, X, which you will then report to your prime minster as your estimate of x. How many equally likely outcomes are there in the sample space on which X depends?

Suppose that you live in a far-away country with only ten citizens (including you). Each citizen has a height, X. The ten possible values of X are: 150 155 163 190 162 148 151 182 175 169 You are chief statistician for the country, and it is your job to estimate the mean µy. Due to budgetary limitations, however, you can only obtain a sample of size n = 3. To obtain a sample, your plan is to put all citizens' names into a hat. You will then randomly select one name, write it down, and then replace it in the hat. You will repeat this, ending up with a list of three names. (Yes, this is done with replacement, you might write your own name three times!) From this sample, you will obtain the mean height, X, which you will then report to your prime minster as your estimate of x. How many equally likely outcomes are there in the sample space on which X depends?

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Suppose that you live in a far-away country with only ten citizens (including you). Each citizen has a height, X. The ten possible values of X are:
150 155 163 190 162
148 151 182 175 169
You are chief statistician for the country, and it is your job to estimate the mean µy. Due to budgetary limitations, however, you can only obtain a sample of size n = 3. To obtain a
sample, your plan is to put all citizens' names into a hat. You will then randomly select one name, write it down, and then replace it in the hat. You will repeat this, ending up with a list of
three names. (Yes, this is done with replacement, you might write your own name three times!) From this sample, you will obtain the mean height,
X, which you will then report to your prime minster as your estimate of x.
How many equally likely outcomes are there in the sample space on which X depends?

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