Express the confidence interval 343.5 + 65.3 in interval form.
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
![**Express the Confidence Interval**
Given: \(343.5 \pm 65.3\)
Objective: Express this confidence interval in interval form.
**Answer Box:**
\[ \text{Enter your answer here} \]
**Additional Instructions:**
Express the answer in either decimal format or as percents.
---
**Explanation:**
A confidence interval given in the format \( a \pm b \) indicates that the range is from \( a - b \) to \( a + b \).
For this example:
- \( a = 343.5 \) (the midpoint)
- \( b = 65.3 \) (the margin of error)
**Interval Calculation:**
- Lower limit: \( 343.5 - 65.3 = 278.2 \)
- Upper limit: \( 343.5 + 65.3 = 408.8 \)
**Interval Form:**
\[ [278.2, 408.8] \]
**Note**: This interval can be presented in decimal numbers. If required, conversion to percent form would depend on the context of the data being percentage-based.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64a644ea-8709-4726-8021-bb861b46b549%2F05b35634-abe0-41d6-90f7-046439c33f9b%2Ffksd93r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Express the Confidence Interval**
Given: \(343.5 \pm 65.3\)
Objective: Express this confidence interval in interval form.
**Answer Box:**
\[ \text{Enter your answer here} \]
**Additional Instructions:**
Express the answer in either decimal format or as percents.
---
**Explanation:**
A confidence interval given in the format \( a \pm b \) indicates that the range is from \( a - b \) to \( a + b \).
For this example:
- \( a = 343.5 \) (the midpoint)
- \( b = 65.3 \) (the margin of error)
**Interval Calculation:**
- Lower limit: \( 343.5 - 65.3 = 278.2 \)
- Upper limit: \( 343.5 + 65.3 = 408.8 \)
**Interval Form:**
\[ [278.2, 408.8] \]
**Note**: This interval can be presented in decimal numbers. If required, conversion to percent form would depend on the context of the data being percentage-based.
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