A random sample of the closing stock prices in dollars for a company in a recent year is listed below. Assume that o is $1.94. Construct the 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. 15.85 19.97 17.54 18.41 18.61 19.69 22.52 20.58 19.17. 21.57 19.26 15.09. 20.71 19.61 16.08 19.43 The 90% confidence interval is ($ S. (Round to two decimal places as needed.)
A random sample of the closing stock prices in dollars for a company in a recent year is listed below. Assume that o is $1.94. Construct the 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. 15.85 19.97 17.54 18.41 18.61 19.69 22.52 20.58 19.17. 21.57 19.26 15.09. 20.71 19.61 16.08 19.43 The 90% confidence interval is ($ S. (Round to two decimal places as needed.)
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![**Title: Understanding Confidence Intervals through Stock Prices**
**Content:**
A random sample of the closing stock prices in dollars for a company in a recent year is listed below. Assume that the standard deviation (σ) is $1.94. Construct the 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
**Stock Prices Sample:**
- 15.85, 19.97, 17.54, 18.41, 18.61, 19.69, 22.52, 20.58
- 19.17, 21.57, 19.26, 15.09, 20.71, 19.61, 16.08, 19.43
**Directions:**
1. **Calculate the mean** of the sample data.
2. Use the given standard deviation (σ = $1.94) to construct the confidence intervals.
3. **Construct the 90% confidence interval** for the population mean.
4. **Construct the 99% confidence interval** for the population mean.
5. **Interpret the confidence intervals** and compare their widths to understand the level of certainty associated with each interval.
**Answer Fields:**
The 90% confidence interval is ($___, $___).
(Round to two decimal places as needed.)
**Action Item:**
Enter your answer in the edit fields and then click Check Answer.
---
This educational content aims to enhance understanding of statistical concepts, specifically focusing on how to construct and interpret confidence intervals using real-world data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff840fd16-304a-4687-bc6a-eb295e8e37a9%2F29d2d2f0-2bfd-48a1-9e1f-2063332a97ca%2Ff8i40qt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Confidence Intervals through Stock Prices**
**Content:**
A random sample of the closing stock prices in dollars for a company in a recent year is listed below. Assume that the standard deviation (σ) is $1.94. Construct the 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
**Stock Prices Sample:**
- 15.85, 19.97, 17.54, 18.41, 18.61, 19.69, 22.52, 20.58
- 19.17, 21.57, 19.26, 15.09, 20.71, 19.61, 16.08, 19.43
**Directions:**
1. **Calculate the mean** of the sample data.
2. Use the given standard deviation (σ = $1.94) to construct the confidence intervals.
3. **Construct the 90% confidence interval** for the population mean.
4. **Construct the 99% confidence interval** for the population mean.
5. **Interpret the confidence intervals** and compare their widths to understand the level of certainty associated with each interval.
**Answer Fields:**
The 90% confidence interval is ($___, $___).
(Round to two decimal places as needed.)
**Action Item:**
Enter your answer in the edit fields and then click Check Answer.
---
This educational content aims to enhance understanding of statistical concepts, specifically focusing on how to construct and interpret confidence intervals using real-world data.
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