Atlanta 340.1 321.6 291.6 339.6 359.6 384.6 309.6 415.6 293.6 Miami 249.6 San Francisco 539.6 Las Vegas 455.6 Phoenix 359.6 Dallas 333.9 a. Compute the mean price for a round-trip flight into Atlanta and the mean price for a round-trip flight into Salt Lake City. Round your answers to two decimal places. Atlanta $ 356.73 Salt Lake City $400.95 Is Atlanta less expensive to fly into than Salt Lake City? If so, what could explain this difference? (i) It is approximately the same to fly into Atlanta as Salt Lake City. This is expected because each cost represents a round-trip flight. (ii) It is more to fly into Atlanta than Salt Lake City. One explanation for this difference could the distance from each of the departure cities to Atlanta versus Salt Lake City. (iii) It is less expensive to fly into Atlanta than Salt Lake City. One explanation for this difference could the distance from each of the departure cities to Atlanta versus Salt Lake City. Choose the correct option. Choice (iii) b. Compute the range (round your answers to one decimal place), variance, and standard deviation (round your answers to two decimal places) for the two samples. Salt Lake City $ Atlanta $ 291 Departure City Cincinnati New York Chicago Denver Los Angeles Seattle Detroit Philadelphia Washington, D.C. Range Variance 5499.7 Standard Deviation $74.16 $ What does this information tell you about the prices for flights into these two cities? The prices for round-trip flights into Atlanta are more variable than prices for round-trip flights into Salt Lake City. ✓ Round-Trip Cost ($) Salt Lake City 570.1 354.6 465.6 219.6 311.6 297.6 471.6 618.4 513.6 523.2 381.6 159.6 267.6 458.6

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### Analysis of Round-Trip Flight Costs

#### Round-Trip Cost Data
The table below presents the round-trip flight costs in USD from various departure cities to Atlanta and Salt Lake City.

| Departure City     | Atlanta ($) | Salt Lake City ($) |
|--------------------|-------------|---------------------|
| Cincinnati         | 340.1       | 570.1               |
| New York           | 321.6       | 354.6               |
| Chicago            | 291.6       | 465.6               |
| Denver             | 339.6       | 219.6               |
| Los Angeles        | 359.6       | 311.6               |
| Seattle            | 384.6       | 297.6               |
| Detroit            | 309.6       | 471.6               |
| Philadelphia       | 415.6       | 618.4               |
| Washington, D.C.   | 293.6       | 513.6               |
| Miami              | 249.6       | 523.2               |
| San Francisco      | 539.6       | 381.6               |
| Las Vegas          | 455.6       | 159.6               |
| Phoenix            | 359.6       | 267.6               |
| Dallas             | 333.9       | 458.6               |

#### a. Mean Cost Calculation
Compute the mean price for round-trip flights to Atlanta and Salt Lake City, rounded to two decimal places.

- **Atlanta**: $356.73
- **Salt Lake City**: $400.95

#### Explanation
Is Atlanta less expensive to fly into than Salt Lake City? If so, what could explain this difference?

- **Option (iii)**: It is less expensive to fly into Atlanta than Salt Lake City. One possible explanation could be the distance variation from each departure city.

#### b. Statistical Analysis
Compute the range, variance, and standard deviation for each city, rounding to one decimal place.

**Atlanta**:
- Range: $291
- Variance: $4999.7
- Standard Deviation: $74.16

(This section for Salt Lake City is left incomplete.)

#### Interpretation
The data indicates that prices for round-trip flights into Atlanta are more variable than those for Salt Lake City.
Transcribed Image Text:### Analysis of Round-Trip Flight Costs #### Round-Trip Cost Data The table below presents the round-trip flight costs in USD from various departure cities to Atlanta and Salt Lake City. | Departure City | Atlanta ($) | Salt Lake City ($) | |--------------------|-------------|---------------------| | Cincinnati | 340.1 | 570.1 | | New York | 321.6 | 354.6 | | Chicago | 291.6 | 465.6 | | Denver | 339.6 | 219.6 | | Los Angeles | 359.6 | 311.6 | | Seattle | 384.6 | 297.6 | | Detroit | 309.6 | 471.6 | | Philadelphia | 415.6 | 618.4 | | Washington, D.C. | 293.6 | 513.6 | | Miami | 249.6 | 523.2 | | San Francisco | 539.6 | 381.6 | | Las Vegas | 455.6 | 159.6 | | Phoenix | 359.6 | 267.6 | | Dallas | 333.9 | 458.6 | #### a. Mean Cost Calculation Compute the mean price for round-trip flights to Atlanta and Salt Lake City, rounded to two decimal places. - **Atlanta**: $356.73 - **Salt Lake City**: $400.95 #### Explanation Is Atlanta less expensive to fly into than Salt Lake City? If so, what could explain this difference? - **Option (iii)**: It is less expensive to fly into Atlanta than Salt Lake City. One possible explanation could be the distance variation from each departure city. #### b. Statistical Analysis Compute the range, variance, and standard deviation for each city, rounding to one decimal place. **Atlanta**: - Range: $291 - Variance: $4999.7 - Standard Deviation: $74.16 (This section for Salt Lake City is left incomplete.) #### Interpretation The data indicates that prices for round-trip flights into Atlanta are more variable than those for Salt Lake City.
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