Express the confidence interval (595.3, 720.3) in the form of ± ME. + ME= Submit Question
Express the confidence interval (595.3, 720.3) in the form of ± ME. + ME= Submit Question
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![### Confidence Interval Expression
**Problem Statement:**
Express the confidence interval \((505.3, 720.3)\) in the format \( \bar{x} \pm ME \).
**Solution Requirements:**
- Find \(\bar{x}\), the sample mean.
- Determine \(ME\), the margin of error.
**Calculation Steps:**
1. **Calculate the Sample Mean \(\bar{x}\):**
\[
\bar{x} = \frac{505.3 + 720.3}{2} = 612.8
\]
2. **Calculate the Margin of Error \(ME\):**
\[
ME = \frac{720.3 - 505.3}{2} = 107.5
\]
3. **Express the Confidence Interval:**
\( \bar{x} \pm ME = 612.8 \pm 107.5 \)
**Input Format:**
- Two text boxes are provided for entering the values of \(\bar{x}\) and \(ME\).
- A "Submit Question" button is included to submit your inputs.
Ensure to double-check the calculations before submitting your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a01157b-f13c-43bf-adb3-4f12e47a4127%2F0c16a513-e0e0-43e5-bf7c-397ee3664ffe%2Fm4hjdp8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Confidence Interval Expression
**Problem Statement:**
Express the confidence interval \((505.3, 720.3)\) in the format \( \bar{x} \pm ME \).
**Solution Requirements:**
- Find \(\bar{x}\), the sample mean.
- Determine \(ME\), the margin of error.
**Calculation Steps:**
1. **Calculate the Sample Mean \(\bar{x}\):**
\[
\bar{x} = \frac{505.3 + 720.3}{2} = 612.8
\]
2. **Calculate the Margin of Error \(ME\):**
\[
ME = \frac{720.3 - 505.3}{2} = 107.5
\]
3. **Express the Confidence Interval:**
\( \bar{x} \pm ME = 612.8 \pm 107.5 \)
**Input Format:**
- Two text boxes are provided for entering the values of \(\bar{x}\) and \(ME\).
- A "Submit Question" button is included to submit your inputs.
Ensure to double-check the calculations before submitting your answer.
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