If n=31, x(x-bar)=32, and s-6, construct a confidence interval at a 80% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place.
If n=31, x(x-bar)=32, and s-6, construct a confidence interval at a 80% confidence level. Assume the data came from a normally distributed population. Give your answers to one decimal place.
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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![**Educational Website Transcription:**
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**Constructing an 80% Confidence Interval**
Given:
- Sample size (\( n \)) = 31
- Sample mean (\( \bar{x} \)) = 32
- Sample standard deviation (\( s \)) = 6
Task: Construct a confidence interval at an 80% confidence level. Assume the data comes from a normally distributed population.
**Instructions:** Provide your answers rounded to one decimal place.
\[ < \mu < \]
[Input fields for the confidence interval]
---
**Note:**
To solve this problem, you would typically use the formula for a confidence interval for a normally distributed population:
\[ \text{Confidence Interval} = \bar{x} \pm z \left( \frac{s}{\sqrt{n}} \right) \]
Where \( z \) is the z-score corresponding to the desired confidence level. A lookup table or statistical software can be used to find this value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ffd3041-5fa8-408a-aea6-8d0882cf770f%2F4021c082-b5f0-426f-8993-13dfe756c0d6%2Fiujz5sr_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Website Transcription:**
---
**Constructing an 80% Confidence Interval**
Given:
- Sample size (\( n \)) = 31
- Sample mean (\( \bar{x} \)) = 32
- Sample standard deviation (\( s \)) = 6
Task: Construct a confidence interval at an 80% confidence level. Assume the data comes from a normally distributed population.
**Instructions:** Provide your answers rounded to one decimal place.
\[ < \mu < \]
[Input fields for the confidence interval]
---
**Note:**
To solve this problem, you would typically use the formula for a confidence interval for a normally distributed population:
\[ \text{Confidence Interval} = \bar{x} \pm z \left( \frac{s}{\sqrt{n}} \right) \]
Where \( z \) is the z-score corresponding to the desired confidence level. A lookup table or statistical software can be used to find this value.
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