The minimum sample size is (Round up to the nearest integer.) ...
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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![**Transcription for Educational Website:**
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**Estimating Minimum Sample Size for a 95% Confidence Interval**
To ensure the accuracy of statistical studies, it is essential to determine the minimum sample size needed. This computation is crucial for achieving a specific margin of error at a desired confidence level.
**Problem Statement:**
Estimate the minimum sample size needed to achieve the margin of error \( E = 0.008 \) for a 95% confidence interval.
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**Solution:**
The minimum sample size is \[ \_\_\_\_ \] (Round up to the nearest integer.)
---
**Explanation:**
When planning a study, understanding the minimum number of observations required helps in designing more reliable and effective experiments and surveys. This is influenced by factors like the confidence level, margin of error, and population variability.
**Note:**
This section might include detailed diagrams or graphs typically used to visually represent how sample sizes affect confidence intervals and margins of error, but there are no specific diagrams included in this transcription.
---
**Further Resources:**
For further inquiries or assistance in solving related statistical problems, please refer to the "Get more help" section provided here.
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Transcribed Image Text:**Transcription for Educational Website:**
---
**Estimating Minimum Sample Size for a 95% Confidence Interval**
To ensure the accuracy of statistical studies, it is essential to determine the minimum sample size needed. This computation is crucial for achieving a specific margin of error at a desired confidence level.
**Problem Statement:**
Estimate the minimum sample size needed to achieve the margin of error \( E = 0.008 \) for a 95% confidence interval.
---
**Solution:**
The minimum sample size is \[ \_\_\_\_ \] (Round up to the nearest integer.)
---
**Explanation:**
When planning a study, understanding the minimum number of observations required helps in designing more reliable and effective experiments and surveys. This is influenced by factors like the confidence level, margin of error, and population variability.
**Note:**
This section might include detailed diagrams or graphs typically used to visually represent how sample sizes affect confidence intervals and margins of error, but there are no specific diagrams included in this transcription.
---
**Further Resources:**
For further inquiries or assistance in solving related statistical problems, please refer to the "Get more help" section provided here.
---
Expert Solution
Step 1
It is given that
Margin of error, E = 0.008
Confidence level = 95%
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