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 $1.94 million. (Note: The sum of the data is $123.07 million.) Click here to view the investment data, Click here to view page 1 of the table of areas under the standard normal curve, Click here to view page 2 of the table of areas under the standard normal curv The 95% confidence interval is from $ million to $ million. Investment data (Round to two decimal places as needed.) 5.95 6.42 6.61 9.82 3.71 5.54 6.64 6,35 4.33 9,04 6.07 7.57 4,45 8.63 10.11 5,04 9,50 7.29

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**Investment Data Analysis in the High-Tech Industry**

Investments in the high-tech industry by venture capitalists have been evaluated through data compiled by a corporation. A random sample of 18 venture-capital investments within a specific business sector was examined, with the data provided in millions of dollars. The objective is to determine and interpret a 95% confidence interval for the mean investment, denoted as μ, across all venture-capital investments in this sector. The population standard deviation is considered to be $1.94 million. It is noted that the cumulative sum of the data amounts to $123.07 million.

### Investment Data:
The following table presents the investment data:

```
| 5.95 | 6.42 | 6.61 | 9.82 | 3.71 | 5.54 |
| 6.64 | 6.35 | 4.33 | 9.04 | 6.07 | 7.57 |
| 4.45 | 8.63 | 10.11 | 5.04 | 9.50 | 7.29 |
```

### Confidence Interval:
To calculate the 95% confidence interval for the mean investment:

- The confidence interval is estimated to range from $______ million to $______ million.
- Calculations should be rounded to two decimal places as needed.

### Resources:
- [View the Investment Data](#)
- [Standard Normal Curve Table Page 1](#)
- [Standard Normal Curve Table Page 2](#)

This analysis provides essential insights into the venture-capital investment patterns within the high-tech sector, aiding strategic financial decisions.
Transcribed Image Text:**Investment Data Analysis in the High-Tech Industry** Investments in the high-tech industry by venture capitalists have been evaluated through data compiled by a corporation. A random sample of 18 venture-capital investments within a specific business sector was examined, with the data provided in millions of dollars. The objective is to determine and interpret a 95% confidence interval for the mean investment, denoted as μ, across all venture-capital investments in this sector. The population standard deviation is considered to be $1.94 million. It is noted that the cumulative sum of the data amounts to $123.07 million. ### Investment Data: The following table presents the investment data: ``` | 5.95 | 6.42 | 6.61 | 9.82 | 3.71 | 5.54 | | 6.64 | 6.35 | 4.33 | 9.04 | 6.07 | 7.57 | | 4.45 | 8.63 | 10.11 | 5.04 | 9.50 | 7.29 | ``` ### Confidence Interval: To calculate the 95% confidence interval for the mean investment: - The confidence interval is estimated to range from $______ million to $______ million. - Calculations should be rounded to two decimal places as needed. ### Resources: - [View the Investment Data](#) - [Standard Normal Curve Table Page 1](#) - [Standard Normal Curve Table Page 2](#) This analysis provides essential insights into the venture-capital investment patterns within the high-tech sector, aiding strategic financial decisions.
According to a study of political prisoners, the mean duration of imprisonment for 34 prisoners with chronic post-traumatic stress disorder (PTSD) was 31.7 months. Assuming that σ = 43 months, determine a 90% confidence interval for the mean duration of imprisonment, μ, of all political prisoners with chronic PTSD. Interpret your answer in words.

[There are clickable links to view tables of areas under the standard normal curve.]

A 90% confidence interval for the population mean is from [ ] months to [ ] months. (Round to one decimal place as needed.)
Transcribed Image Text:According to a study of political prisoners, the mean duration of imprisonment for 34 prisoners with chronic post-traumatic stress disorder (PTSD) was 31.7 months. Assuming that σ = 43 months, determine a 90% confidence interval for the mean duration of imprisonment, μ, of all political prisoners with chronic PTSD. Interpret your answer in words. [There are clickable links to view tables of areas under the standard normal curve.] A 90% confidence interval for the population mean is from [ ] months to [ ] months. (Round to one decimal place as needed.)
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