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.

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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.
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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