The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. Excel File: data10-41.xlsx Kitchen Master Bedroom Kitchen Master Bedroom 25.2 18.0 23.0 17.8 17.4 22.9 19.7 24.6 22.8 26.4 16.9 21.0 21.9 24.8 21.8 19.7 26.9 23.6 a. Develop a point estimate of the difference between the population mean remodeling costs of kitchens and master bedrooms. (Enter negative values as negative number Report in thousands of dollars with no commas in your answer.) Point estimate = $ thousand b. Develop a 90% confidence interval for the difference between the two population means. (to 1 decimal and enter negative values as negative numbers) ) in thousands of dollars.

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The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows.

**Understanding Remodeling Costs: A Statistical Approach**

The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on the cost, in thousands of dollars, for two types of remodeling projects are as follows:

**Excel File:** data10-41.xlsx

| Kitchen | Master Bedroom | Kitchen | Master Bedroom |
|---------|----------------|---------|----------------|
| 25.2    | 18.0           | 23.0    | 17.8           |
| 17.4    | 22.9           | 19.7    | 24.6           |
| 22.8    | 26.4           | 16.9    | 21.0           |
| 21.9    | 24.8           | 21.8    |  |
| 19.7    | 26.9           | 23.6    |  |

### Statistical Analysis

a. **Point Estimate Development**

- Develop a point estimate of the difference between the population mean remodeling costs of kitchens and master bedrooms. (Enter negative values as negative numbers. Report in thousands of dollars with no commas in your answer.) 

  **Point estimate = $_____ thousand**

b. **Confidence Interval Development**

- Develop a 90% confidence interval for the difference between the two population means. (Round to 1 decimal and enter negative values as negative numbers.)

  **(___, ___) in thousands of dollars.**

This data assists in understanding the average costs associated with kitchen and master bedroom remodels, providing a statistical basis for estimating and comparing these expenses.
Transcribed Image Text:**Understanding Remodeling Costs: A Statistical Approach** The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on the cost, in thousands of dollars, for two types of remodeling projects are as follows: **Excel File:** data10-41.xlsx | Kitchen | Master Bedroom | Kitchen | Master Bedroom | |---------|----------------|---------|----------------| | 25.2 | 18.0 | 23.0 | 17.8 | | 17.4 | 22.9 | 19.7 | 24.6 | | 22.8 | 26.4 | 16.9 | 21.0 | | 21.9 | 24.8 | 21.8 | | | 19.7 | 26.9 | 23.6 | | ### Statistical Analysis a. **Point Estimate Development** - Develop a point estimate of the difference between the population mean remodeling costs of kitchens and master bedrooms. (Enter negative values as negative numbers. Report in thousands of dollars with no commas in your answer.) **Point estimate = $_____ thousand** b. **Confidence Interval Development** - Develop a 90% confidence interval for the difference between the two population means. (Round to 1 decimal and enter negative values as negative numbers.) **(___, ___) in thousands of dollars.** This data assists in understanding the average costs associated with kitchen and master bedroom remodels, providing a statistical basis for estimating and comparing these expenses.
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