A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below. x = 54, n = 18, o = 6, confidence level = 99% Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. ..... a. Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn. to O. (Type integers or decimals rounded to one decimal place as needed.) The confidence interval is from b. Obtain the margin of error by taking half the length of the confidence interval. What is the length of the confidence interval? O(Type an integer or decimal rounded to one decimal place as needed.) c. Obtain the margin of error by using the formula E =z,•F.
A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below. x = 54, n = 18, o = 6, confidence level = 99% Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. ..... a. Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn. to O. (Type integers or decimals rounded to one decimal place as needed.) The confidence interval is from b. Obtain the margin of error by taking half the length of the confidence interval. What is the length of the confidence interval? O(Type an integer or decimal rounded to one decimal place as needed.) c. Obtain the margin of error by using the formula E =z,•F.
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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Please solve all parts of the question correctly and double-check.
![### Margin of Error Calculation
**c.** Obtain the margin of error by using the formula:
\[ E = z_{\frac{\alpha}{2}} \cdot \frac{\sigma}{\sqrt{n}} \]
**Identify the critical value.**
\[ z_{\frac{\alpha}{2}} = \]
(Type an integer or decimal rounded to two decimal places as needed.)
**What is the margin of error obtained using the methods of parts (b) and (c)?**
\[ \]
(Type an integer or decimal rounded to one decimal place as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ba955a6-0173-4ce0-a339-d3f7e6283e1a%2Ff693c580-9dfb-4b72-a83b-256cb8551dfc%2Fc2qecvk_processed.png&w=3840&q=75)
Transcribed Image Text:### Margin of Error Calculation
**c.** Obtain the margin of error by using the formula:
\[ E = z_{\frac{\alpha}{2}} \cdot \frac{\sigma}{\sqrt{n}} \]
**Identify the critical value.**
\[ z_{\frac{\alpha}{2}} = \]
(Type an integer or decimal rounded to two decimal places as needed.)
**What is the margin of error obtained using the methods of parts (b) and (c)?**
\[ \]
(Type an integer or decimal rounded to one decimal place as needed.)
- [Click here to view page 2 of the standard normal distribution table.](#)
---
### a. Calculating the Confidence Interval
Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn.
- **The confidence interval is from** [____] **to** [____].
*(Type integers or decimals rounded to one decimal place as needed.)*
---
### b. Determining the Length of the Confidence Interval
Obtain the margin of error by taking half the length of the confidence interval.
- **What is the length of the confidence interval?**
[____]
*(Type an integer or decimal rounded to one decimal place as needed.)*
---
### c. Calculating the Margin of Error
Obtain the margin of error by using the formula:
\[ E = z_{\frac{\alpha}{2}} \cdot \frac{\sigma}{\sqrt{n}} \]
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ba955a6-0173-4ce0-a339-d3f7e6283e1a%2Ff693c580-9dfb-4b72-a83b-256cb8551dfc%2F9n9p5m6_processed.png&w=3840&q=75)
Transcribed Image Text:## Confidence Interval Calculation Using Sample Data
A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below.
Given:
- Sample mean (\(\bar{x}\)) = 54
- Sample size (\(n\)) = 18
- Population standard deviation (\(\sigma\)) = 6
- Confidence level = 99%
### Resources
- [Click here to view page 1 of the standard normal distribution table.](#)
- [Click here to view page 2 of the standard normal distribution table.](#)
---
### a. Calculating the Confidence Interval
Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn.
- **The confidence interval is from** [____] **to** [____].
*(Type integers or decimals rounded to one decimal place as needed.)*
---
### b. Determining the Length of the Confidence Interval
Obtain the margin of error by taking half the length of the confidence interval.
- **What is the length of the confidence interval?**
[____]
*(Type an integer or decimal rounded to one decimal place as needed.)*
---
### c. Calculating the Margin of Error
Obtain the margin of error by using the formula:
\[ E = z_{\frac{\alpha}{2}} \cdot \frac{\sigma}{\sqrt{n}} \]
---
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