You may need to use the appropriate appendix table or technology to answer this question. The mean cost to repair the smoke and fire damage that results from home fires of all causes is $11,389.+ How does the damage that results from home fires caused by careless use of tobacco compare? The file TobaccoFires provides the cost to repair smoke and fire damage associated with a sample of 55 fires caused by careless use of tobacco products. Smoke and Fire Cost 17,748 18,429 17,312 17,622 23,149 18,340 23,669 23,006 18,378 14,160 21,653 18,060 20,043 13,859 22,401 14,970 15,111 22,320 21,159 15,628 19,082 13,832 20,124 17,819 16,860 19,042 16,812 14,610 16,496 21,287 17,721 20,229 23,942 18,937 21,697 15,098 18,611 22,137 19,223 20,527 16,830 19,854 20,499 22,607 13,561 22,031 22,128 23,200 23,221 15,096 15,978 20,768 22,036 17,678 23,910 = Using past years' data, the population standard deviation can be assumed known with a $3,027. What is the 95% confidence interval estimate of the mean cost to repair smoke and fire damage that results from home fires caused by careless use of tobacco? (Round your answer to the nearest dollar.) $ to $ How does this compare with the mean cost to repair the smoke and fire damage that results from home fires of all causes? The average cost to repair the smoke and fire damage that result from home fires of all causes is ---Sect-- the 95% confidence interval for the mean cost of fires resulting from tobacco. This shows the mean cost of fires resulting from tobacco is ---Select--than the average cost to repair the smoke and fire damage that results from home fires due to all causes.

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### Analyzing the Cost of Home Fire Damage: A Case Study

#### Overview
This study compares the mean cost to repair smoke and fire damage resulting from home fires caused by careless use of tobacco versus the mean cost for home fires of all causes.

#### Data Summary
The provided dataset includes the cost to repair smoke and fire damage from a sample of 55 fires caused by careless use of tobacco.

**Smoke and Fire Cost (in dollars):**

| 17,748 | 18,429 | 17,312 | 17,622 | 23,149 | 18,340 | 23,669 | 23,006 | 8,378  | 14,160 | 21,653 |
|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|
| 18,060 | 20,433 | 18,359 | 22,401 | 15,061 | 22,320 | 21,158 | 15,928 | 18,072 | 13,832 |
| 15,459 | 21,619 | 16,806 | 19,980 | 21,159 | 17,721 | 22,099 | 23,942 |
| 22,078 | 20,597 | 16,995 | 16,848 | 15,262 | 18,454 | 20,849 | 29,750 |
| 13,561 | 22,403 | 21,228 | 23,200 | 23,221 | 15,092 | 15,978 | 20,676 | 13,150 | 23,910 |

#### Statistical Analysis

**Given:**
- Mean cost to repair smoke and fire damage from all home fires: $11,389
- Sample Size: 55
- Population Standard Deviation: $3,027

#### Confidence Interval Calculation
Using the past years' data, we can assume the population standard deviation (σ) is $3,027. To determine the 95% confidence interval estimate of the mean cost to repair smoke and fire damage from home fires caused by careless use of tobacco, we perform the following calculation:

\[ CI = \bar{X} \pm Z \left(\frac{\sigma}{\sqrt{n}}\right) \]

Where:
- \(\bar{X}\)
Transcribed Image Text:### Analyzing the Cost of Home Fire Damage: A Case Study #### Overview This study compares the mean cost to repair smoke and fire damage resulting from home fires caused by careless use of tobacco versus the mean cost for home fires of all causes. #### Data Summary The provided dataset includes the cost to repair smoke and fire damage from a sample of 55 fires caused by careless use of tobacco. **Smoke and Fire Cost (in dollars):** | 17,748 | 18,429 | 17,312 | 17,622 | 23,149 | 18,340 | 23,669 | 23,006 | 8,378 | 14,160 | 21,653 | |--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------| | 18,060 | 20,433 | 18,359 | 22,401 | 15,061 | 22,320 | 21,158 | 15,928 | 18,072 | 13,832 | | 15,459 | 21,619 | 16,806 | 19,980 | 21,159 | 17,721 | 22,099 | 23,942 | | 22,078 | 20,597 | 16,995 | 16,848 | 15,262 | 18,454 | 20,849 | 29,750 | | 13,561 | 22,403 | 21,228 | 23,200 | 23,221 | 15,092 | 15,978 | 20,676 | 13,150 | 23,910 | #### Statistical Analysis **Given:** - Mean cost to repair smoke and fire damage from all home fires: $11,389 - Sample Size: 55 - Population Standard Deviation: $3,027 #### Confidence Interval Calculation Using the past years' data, we can assume the population standard deviation (σ) is $3,027. To determine the 95% confidence interval estimate of the mean cost to repair smoke and fire damage from home fires caused by careless use of tobacco, we perform the following calculation: \[ CI = \bar{X} \pm Z \left(\frac{\sigma}{\sqrt{n}}\right) \] Where: - \(\bar{X}\)
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