# Estimating a Population Mean from Sample Data The goal is to estimate a population mean (\(\mu\)) from the following sample data: | 71.4 | 56.5 | 57.2 | 57.5 | |------|------|------|------| | 48.0 | 53.6 | 61.7 | 51.3 | | 65.5 | 51.3 | 54.8 | 69.8 | | 52.7 | 61.6 | 77.3 | 53.6 | | 47.8 | 59.6 | 56.4 | 65.4 | | 51.2 | 69.9 | 48.4 | 73.5 | | 64.9 | 63.9 | 62.1 | 60.8 | | 48.4 | 55.5 | 50.8 | 63.5 | | 70.5 | 71.1 | 71.6 | 56.3 | | 62.5 | 57.8 | 64.4 | 51.1 | | 59.4 | 58.8 | 49.8 | 49.8 | | 54.3 | 54.2 | 57.8 | 67.8 | | 59.9 | 63.5 | 63.4 | 65.9 | | 71.1 | ## Confidence Interval Calculation **Task:** Find the 99% confidence interval for the population mean \(\mu\). - **Instructions:** Enter your answer as a tri-linear inequality accurate to two decimal places (since the sample data are reported to one decimal place). \[ < \mu < \] - **Note:** The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to three decimal places. **Question Help:** [Message instructor] **Submission:** Click on "Submit Question" to record your response.
# Estimating a Population Mean from Sample Data The goal is to estimate a population mean (\(\mu\)) from the following sample data: | 71.4 | 56.5 | 57.2 | 57.5 | |------|------|------|------| | 48.0 | 53.6 | 61.7 | 51.3 | | 65.5 | 51.3 | 54.8 | 69.8 | | 52.7 | 61.6 | 77.3 | 53.6 | | 47.8 | 59.6 | 56.4 | 65.4 | | 51.2 | 69.9 | 48.4 | 73.5 | | 64.9 | 63.9 | 62.1 | 60.8 | | 48.4 | 55.5 | 50.8 | 63.5 | | 70.5 | 71.1 | 71.6 | 56.3 | | 62.5 | 57.8 | 64.4 | 51.1 | | 59.4 | 58.8 | 49.8 | 49.8 | | 54.3 | 54.2 | 57.8 | 67.8 | | 59.9 | 63.5 | 63.4 | 65.9 | | 71.1 | ## Confidence Interval Calculation **Task:** Find the 99% confidence interval for the population mean \(\mu\). - **Instructions:** Enter your answer as a tri-linear inequality accurate to two decimal places (since the sample data are reported to one decimal place). \[ < \mu < \] - **Note:** The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to three decimal places. **Question Help:** [Message instructor] **Submission:** Click on "Submit Question" to record your response.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![# Estimating a Population Mean from Sample Data
The goal is to estimate a population mean (\(\mu\)) from the following sample data:
| 71.4 | 56.5 | 57.2 | 57.5 |
|------|------|------|------|
| 48.0 | 53.6 | 61.7 | 51.3 |
| 65.5 | 51.3 | 54.8 | 69.8 |
| 52.7 | 61.6 | 77.3 | 53.6 |
| 47.8 | 59.6 | 56.4 | 65.4 |
| 51.2 | 69.9 | 48.4 | 73.5 |
| 64.9 | 63.9 | 62.1 | 60.8 |
| 48.4 | 55.5 | 50.8 | 63.5 |
| 70.5 | 71.1 | 71.6 | 56.3 |
| 62.5 | 57.8 | 64.4 | 51.1 |
| 59.4 | 58.8 | 49.8 | 49.8 |
| 54.3 | 54.2 | 57.8 | 67.8 |
| 59.9 | 63.5 | 63.4 | 65.9 |
| 71.1 |
## Confidence Interval Calculation
**Task:** Find the 99% confidence interval for the population mean \(\mu\).
- **Instructions:** Enter your answer as a tri-linear inequality accurate to two decimal places (since the sample data are reported to one decimal place).
\[
< \mu <
\]
- **Note:** The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to three decimal places.
**Question Help:** [Message instructor]
**Submission:** Click on "Submit Question" to record your response.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80642cbc-6aa7-4366-ac17-c4badb347d8d%2F3afd0c65-52ad-4be0-85b2-1ed9057fdc43%2F1xuia9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Estimating a Population Mean from Sample Data
The goal is to estimate a population mean (\(\mu\)) from the following sample data:
| 71.4 | 56.5 | 57.2 | 57.5 |
|------|------|------|------|
| 48.0 | 53.6 | 61.7 | 51.3 |
| 65.5 | 51.3 | 54.8 | 69.8 |
| 52.7 | 61.6 | 77.3 | 53.6 |
| 47.8 | 59.6 | 56.4 | 65.4 |
| 51.2 | 69.9 | 48.4 | 73.5 |
| 64.9 | 63.9 | 62.1 | 60.8 |
| 48.4 | 55.5 | 50.8 | 63.5 |
| 70.5 | 71.1 | 71.6 | 56.3 |
| 62.5 | 57.8 | 64.4 | 51.1 |
| 59.4 | 58.8 | 49.8 | 49.8 |
| 54.3 | 54.2 | 57.8 | 67.8 |
| 59.9 | 63.5 | 63.4 | 65.9 |
| 71.1 |
## Confidence Interval Calculation
**Task:** Find the 99% confidence interval for the population mean \(\mu\).
- **Instructions:** Enter your answer as a tri-linear inequality accurate to two decimal places (since the sample data are reported to one decimal place).
\[
< \mu <
\]
- **Note:** The answer should be obtained without any preliminary rounding. However, the critical value may be rounded to three decimal places.
**Question Help:** [Message instructor]
**Submission:** Click on "Submit Question" to record your response.
Expert Solution
Step 1
The data set is:
| 71.4 |
| 48 |
| 65.5 |
| 52.7 |
| 47.8 |
| 51.2 |
| 64.9 |
| 48.4 |
| 40.4 |
| 62.5 |
| 72.3 |
| 54.3 |
| 59.9 |
| 71.1 |
| 56.5 |
| 53.6 |
| 51.4 |
| 61.6 |
| 59.6 |
| 69.9 |
| 63 |
| 55.5 |
| 71.2 |
| 57.8 |
| 58.8 |
| 54.2 |
| 63.5 |
| 57.2 |
| 61.7 |
| 56.8 |
| 77.3 |
| 56.4 |
| 48.4 |
| 62.1 |
| 50.8 |
| 71.6 |
| 64.4 |
| 69 |
| 57.8 |
| 63.4 |
| 57.5 |
| 51.3 |
| 69.8 |
| 53.6 |
| 65.4 |
| 73.5 |
| 60.8 |
| 63.5 |
| 56.3 |
| 51.1 |
| 49.8 |
| 67.8 |
| 65.9 |
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