Use the sample data to construct a 95% confidence interval for the mean price of a home in Winston-Salem. Since CI = 95%, a =0.05: Determine the t-score associated with this CL and use it to determine the error bound of the population mean (EBM). Finally, construct a statement in the context of the problem that explains your result. (Use the following statement as a template and fill in the blanks with your results.) "We believe, at the_% confidence level, that the true population mean of home prices in Winston-Salem lies between $ and $ Response Feedback: [None Given]

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Use the sample data to construct a 95% confidence interval for the mean price of a home in Winston-Salem. Since \( CL = 95\%, \alpha = 0.05 \). Determine the t-score associated with this CL and use it to determine the error bound of the population mean (EBM). Finally, construct a statement in the context of the problem that explains your result. (Use the following statement as a template and fill in the blanks with your results.)

"We believe, at the __% confidence level, that the true population mean of home prices in Winston-Salem lies between $_____ and $_____."

Response Feedback: [None Given]
Transcribed Image Text:Use the sample data to construct a 95% confidence interval for the mean price of a home in Winston-Salem. Since \( CL = 95\%, \alpha = 0.05 \). Determine the t-score associated with this CL and use it to determine the error bound of the population mean (EBM). Finally, construct a statement in the context of the problem that explains your result. (Use the following statement as a template and fill in the blanks with your results.) "We believe, at the __% confidence level, that the true population mean of home prices in Winston-Salem lies between $_____ and $_____." Response Feedback: [None Given]
**Table 1: A random sampling of 30 homes in the Winston-Salem area.**

| Price ($) | Size (single- or multi-level) |
|-----------|-------------------------------|
| 178,900   | 1                             |
| 218,000   | 2                             |
| 239,900   | 1                             |
| 142,000   | 1                             |
| 183,200   | 2                             |
| 279,600   | 2                             |
| 199,900   | 2                             |
| 314,900   | 2                             |
| 130,000   | 1                             |
| 339,900   | 1                             |
| 200,000   | 2                             |
| 254,900   | 2                             |
| 293,500   | 2                             |
| 225,000   | 2                             |
| 249,900   | 2                             |
| 145,000   | 1                             |
| 284,900   | 1                             |
| 259,900   | 1                             |
| 165,000   | 1                             |
| 277,900   | 2                             |
| 210,000   | 2                             |
| 285,000   | 2                             |
| 174,900   | 1                             |
| 195,000   | 1                             |
| 289,900   | 2                             |
| 225,000   | 2                             |
| 179,000   | 1                             |
| 248,900   | 2                             |
| 209,900   | 2                             |
| 225,000   | 2                             |

This table presents data for 30 homes in the Winston-Salem area. Each entry provides the price of a home alongside its size category, defined as either single-level (denoted by "1") or multi-level (denoted by "2").
Transcribed Image Text:**Table 1: A random sampling of 30 homes in the Winston-Salem area.** | Price ($) | Size (single- or multi-level) | |-----------|-------------------------------| | 178,900 | 1 | | 218,000 | 2 | | 239,900 | 1 | | 142,000 | 1 | | 183,200 | 2 | | 279,600 | 2 | | 199,900 | 2 | | 314,900 | 2 | | 130,000 | 1 | | 339,900 | 1 | | 200,000 | 2 | | 254,900 | 2 | | 293,500 | 2 | | 225,000 | 2 | | 249,900 | 2 | | 145,000 | 1 | | 284,900 | 1 | | 259,900 | 1 | | 165,000 | 1 | | 277,900 | 2 | | 210,000 | 2 | | 285,000 | 2 | | 174,900 | 1 | | 195,000 | 1 | | 289,900 | 2 | | 225,000 | 2 | | 179,000 | 1 | | 248,900 | 2 | | 209,900 | 2 | | 225,000 | 2 | This table presents data for 30 homes in the Winston-Salem area. Each entry provides the price of a home alongside its size category, defined as either single-level (denoted by "1") or multi-level (denoted by "2").
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