Find the confidence level and α for a 91​% confidence interval. What is the confidence​ level? _______ ​(Type an integer or a​ decimal.)

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Find the confidence level and α for a 91​% confidence interval.
What is the confidence​ level?
_______
​(Type an integer or a​ decimal.)
**Transcription for Educational Website:**

### Problem 8.1.25

A government bureau publishes annual price figures for new mobile homes. A simple random sample of 36 new mobile homes yielded the following prices, in thousands of dollars. Assume that the population standard deviation of all such prices is $6.6 thousand, that is, $6,600. Use the data to obtain a 99.7% confidence interval for the mean price of all new mobile homes.

- **Click the icon** to view a table of prices of new mobile homes.

**The 99.7% confidence interval is from $[ \_\_\_ ] to $[ \_\_\_ ].**  
(Round to the nearest dollar as needed.)

---

**Table: Prices of New Mobile Homes**

| Prices ($1000s) of 36 Randomly Selected New Mobile Homes |
|----------------------------------------------------------|
| 66.9, 69.3, 58.6, 57.9, 64.3, 62.1, 54.5, 72.3, 62.5      |
| 67.3, 74.7, 62.4, 56.0, 64.0, 56.1, 48.7, 72.0            |
| 49.6, 56.4, 71.7, 59.1, 64.2, 63.7, 55.9, 51.8, 53.7      |
| 55.9, 77.8, 77.3, 61.3, 74.3, 58.3, 60.9, 63.2, 78.0      |

This table provides the prices (in thousands of dollars) of 36 randomly selected new mobile homes. Use this sample data to compute the mean and ultimately the 99.7% confidence interval for the population mean price of new mobile homes.
Transcribed Image Text:**Transcription for Educational Website:** ### Problem 8.1.25 A government bureau publishes annual price figures for new mobile homes. A simple random sample of 36 new mobile homes yielded the following prices, in thousands of dollars. Assume that the population standard deviation of all such prices is $6.6 thousand, that is, $6,600. Use the data to obtain a 99.7% confidence interval for the mean price of all new mobile homes. - **Click the icon** to view a table of prices of new mobile homes. **The 99.7% confidence interval is from $[ \_\_\_ ] to $[ \_\_\_ ].** (Round to the nearest dollar as needed.) --- **Table: Prices of New Mobile Homes** | Prices ($1000s) of 36 Randomly Selected New Mobile Homes | |----------------------------------------------------------| | 66.9, 69.3, 58.6, 57.9, 64.3, 62.1, 54.5, 72.3, 62.5 | | 67.3, 74.7, 62.4, 56.0, 64.0, 56.1, 48.7, 72.0 | | 49.6, 56.4, 71.7, 59.1, 64.2, 63.7, 55.9, 51.8, 53.7 | | 55.9, 77.8, 77.3, 61.3, 74.3, 58.3, 60.9, 63.2, 78.0 | This table provides the prices (in thousands of dollars) of 36 randomly selected new mobile homes. Use this sample data to compute the mean and ultimately the 99.7% confidence interval for the population mean price of new mobile homes.
**Investments in the High-Tech Industry**

**Problem 8.2.69:**

Data on investments in the high-tech industry by venture capitalists are compiled by a corporation. A random sample of 18 venture-capital investments in a certain business sector yielded the accompanying data, in millions of dollars. Determine and interpret a 95% confidence interval for the mean amount, μ, of all venture-capital investments in this business sector. Assume that the population standard deviation is $1.82 million. (Note: The sum of the data is $112.40 million.)

- **Investment Data:**
  - 5.31, 5.80, 5.42, 9.74, 2.89, 5.49
  - 5.40, 5.66, 4.50, 8.63, 5.85, 6.85
  - 4.58, 7.85, 9.17, 4.85, 8.30, 6.11

**Links:**
- [ View the investment data.](#)
- [ View page 1 of the table of areas under the standard normal curve.](#)
- [ View page 2 of the table of areas under the standard normal curve.](#)

**Confidence Interval:**
The 95% confidence interval is from $___ million to $___ million. (Round to two decimal places as needed.)
Transcribed Image Text:**Investments in the High-Tech Industry** **Problem 8.2.69:** Data on investments in the high-tech industry by venture capitalists are compiled by a corporation. A random sample of 18 venture-capital investments in a certain business sector yielded the accompanying data, in millions of dollars. Determine and interpret a 95% confidence interval for the mean amount, μ, of all venture-capital investments in this business sector. Assume that the population standard deviation is $1.82 million. (Note: The sum of the data is $112.40 million.) - **Investment Data:** - 5.31, 5.80, 5.42, 9.74, 2.89, 5.49 - 5.40, 5.66, 4.50, 8.63, 5.85, 6.85 - 4.58, 7.85, 9.17, 4.85, 8.30, 6.11 **Links:** - [ View the investment data.](#) - [ View page 1 of the table of areas under the standard normal curve.](#) - [ View page 2 of the table of areas under the standard normal curve.](#) **Confidence Interval:** The 95% confidence interval is from $___ million to $___ million. (Round to two decimal places as needed.)
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