u want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=23.2σ=23.2. You would like to be 99% confident that your estimate is within 4 of the true population mean. How large of a sample size is required?

u want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=23.2σ=23.2. You would like to be 99% confident that your estimate is within 4 of the true population mean. How large of a sample size is required?

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

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=23.2σ=23.2. You would like to be 99% confident that your estimate is within 4 of the true population mean. How large of a sample size is required?

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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