Question

DATAfile: TobaccoFires

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 DATAfile named 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

σ = $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  ---Select--- below within above 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--- lower higher than the average cost to repair the smoke and fire damage that results from home fires due to all causes.

Answer 1

Let denotes the mean cost to repair smoke and fire damage that results from home fires caused by careless use of tobacco.

The average cost to repair the smoke and fire damage that result from home fires of all causes is within the 95% confidence interval for the mean cost of fires resulting from tobacco.

This shows the mean cost of fires resulting from tobacco is higher than the average cost to repair the smoke and fire damage that results from home fires due to all causes.