Suppose that random samples are drawn from an infinite population. How does the standard error of X change if the sample size is (i) increased from 36 to 64, (ii) increased from 100 to 400, (iii) increased from 81 to 324, (iv) increased from 256 to 576?

Suppose that random samples are drawn from an infinite population. How does the standard error of X change if the sample size is (i) increased from 36 to 64, (ii) increased from 100 to 400, (iii) increased from 81 to 324, (iv) increased from 256 to 576?

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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Question

Suppose that random samples are drawn from an infinite population. How does the
standard error of X¯ change if the sample size is (i) increased from 36 to 64, (ii)
increased from 100 to 400, (iii) increased from 81 to 324, (iv) increased from 256 to
576?

NOTE: Please explain each part, so the problem can be used as a Study Guide

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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