Construct a 98% confidence interval for the diffence between the selling price and list price (selling price - list price). Write your answer in interval notation, rounded to the nearest dollar. Do not include dollar signs in your interval.
Construct a 98% confidence interval for the diffence between the selling price and list price (selling price - list price). Write your answer in interval notation, rounded to the nearest dollar. Do not include dollar signs in your interval.
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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Construct a 98% confidence interval for the diffence between the selling price and list price (selling price - list price). Write your answer in interval notation, rounded to the nearest dollar. Do not include dollar signs in your interval.
![### Selling Price Analysis
- **Sample Size:** 801
- **Mean:** 295,143
- **Standard Deviation:** 10,256.3
- **Confidence Level:** 98%
- **Confidence Interval:** (286,721, 303,565) or (286,722, 303,566)
### List Price Analysis
- **Sample Size:** 801
- **Mean:** 296,009
- **Standard Deviation:** 10,360.9
- **Confidence Level:** 98%
- **Confidence Interval:** (286,906, 307,000) or (286,909, 307,051)
### Combined Confidence Interval
The union of the two confidence intervals can be expressed as:
\[ (286,722, 303,566) \cup (286,909, 307,051) \]
This indicates the range within which we can be 98% confident that the selling and list prices lie, based on the given data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee710977-90c8-4f84-9cb1-1102aa3efb9b%2F7f102e5e-2921-416a-9c61-1363f2011e21%2Fhlqcxfq.jpeg&w=3840&q=75)
Transcribed Image Text:### Selling Price Analysis
- **Sample Size:** 801
- **Mean:** 295,143
- **Standard Deviation:** 10,256.3
- **Confidence Level:** 98%
- **Confidence Interval:** (286,721, 303,565) or (286,722, 303,566)
### List Price Analysis
- **Sample Size:** 801
- **Mean:** 296,009
- **Standard Deviation:** 10,360.9
- **Confidence Level:** 98%
- **Confidence Interval:** (286,906, 307,000) or (286,909, 307,051)
### Combined Confidence Interval
The union of the two confidence intervals can be expressed as:
\[ (286,722, 303,566) \cup (286,909, 307,051) \]
This indicates the range within which we can be 98% confident that the selling and list prices lie, based on the given data.
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