You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately = 36.8. You would like to be 95% confident that your estimate is within 4 of the true population mean. How large of a sample size is required? Round up to nearest whole number. n =
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately = 36.8. You would like to be 95% confident that your estimate is within 4 of the true population mean. How large of a sample size is required? Round up to nearest whole number. n =
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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![Title: Estimating Population Mean - Sample Size Calculation
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**Problem Statement:**
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately \( \sigma = 36.8 \). You would like to be 95% confident that your estimate is within 4 of the true population mean. How large of a sample size is required? Round up to the nearest whole number.
\[ n = \]
---
**Explanation:**
In this problem, you are tasked with determining the required sample size, \( n \), to estimate the population mean with a specified level of confidence and margin of error. Important information is provided, including the population standard deviation \( \sigma \), the margin of error, and the desired confidence level.
You will need to apply the sample size formula for estimating a population mean, which incorporates the z-score corresponding to the given confidence level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc260e632-e4e2-45c7-853f-2d07e95220d0%2F3bb49930-23c2-43cd-8a2f-ae627360db11%2F7841786_processed.png&w=3840&q=75)
Transcribed Image Text:Title: Estimating Population Mean - Sample Size Calculation
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**Problem Statement:**
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately \( \sigma = 36.8 \). You would like to be 95% confident that your estimate is within 4 of the true population mean. How large of a sample size is required? Round up to the nearest whole number.
\[ n = \]
---
**Explanation:**
In this problem, you are tasked with determining the required sample size, \( n \), to estimate the population mean with a specified level of confidence and margin of error. Important information is provided, including the population standard deviation \( \sigma \), the margin of error, and the desired confidence level.
You will need to apply the sample size formula for estimating a population mean, which incorporates the z-score corresponding to the given confidence level.
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