a. Use the one-mean t-interval procedure with the sample mean, sample ize, sample standard deviation, and confIdence level given below to find a confidence interval for the mean of the population from which the sample was drawn. b. Obtain the margin of error by taking half the length of the confidence interval. S c. Obtain the margin of error by using the formula t/2 x= 15 n= 16 s= 6 confidence level = 95% Click here to view Page 1 of the table of t-values with area alpha to its right. Click here to view Page 2 of the table of t-values with area alpha to its right. ..... a. The 95% confidence interval about u is to . (Round to three decimal places as needed.) b. The margin of error found by taking half the length of the confidence interval is. (Round to three decimal places as needed.) c. The margin of error found by using the formula is. (Round to three decimal places as needed.)
a. Use the one-mean t-interval procedure with the sample mean, sample ize, sample standard deviation, and confIdence level given below to find a confidence interval for the mean of the population from which the sample was drawn. b. Obtain the margin of error by taking half the length of the confidence interval. S c. Obtain the margin of error by using the formula t/2 x= 15 n= 16 s= 6 confidence level = 95% Click here to view Page 1 of the table of t-values with area alpha to its right. Click here to view Page 2 of the table of t-values with area alpha to its right. ..... a. The 95% confidence interval about u is to . (Round to three decimal places as needed.) b. The margin of error found by taking half the length of the confidence interval is. (Round to three decimal places as needed.) c. The margin of error found by using the formula is. (Round to three decimal places as needed.)
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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![### Confidence Interval Calculation
#### Instructions:
Use the one-mean t-interval procedure with the sample mean, sample size, sample standard deviation, and confidence level provided below to find a confidence interval for the mean of the population from which the sample was drawn.
#### Given Data:
- Sample mean (\(\bar{x}\)) = 15
- Sample size (n) = 16
- Sample standard deviation (s) = 6
- Confidence level = 95%
#### Steps:
**a.** Determine the 95% confidence interval for \(\mu\).
(Round to three decimal places as needed.)
**b.** Find the margin of error by taking half the length of the confidence interval.
(Round to three decimal places as needed.)
**c.** Obtain the margin of error using the formula:
\[
t_{\alpha/2} \cdot \frac{s}{\sqrt{n}}
\]
(Round to three decimal places as needed.)
---
#### Resources:
- Click here to view **Page 1** of the table of t-values with area alpha to its right.
- Click here to view **Page 2** of the table of t-values with area alpha to its right.
### Explanation of Symbols:
- \(\bar{x}\) = Sample mean
- \(n\) = Sample size
- \(s\) = Sample standard deviation
- \(t_{\alpha/2}\) = t-value for confidence level
- \(\mu\) = Population mean estimate
Note: Ensure to access the provided t-table to find the accurate \(t_{\alpha/2}\) value for calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25a04a52-eee0-4f18-a3d1-babb6dd56b4f%2F430d151f-068f-4771-8a5d-4d39f9e867e4%2Focuxhf6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Confidence Interval Calculation
#### Instructions:
Use the one-mean t-interval procedure with the sample mean, sample size, sample standard deviation, and confidence level provided below to find a confidence interval for the mean of the population from which the sample was drawn.
#### Given Data:
- Sample mean (\(\bar{x}\)) = 15
- Sample size (n) = 16
- Sample standard deviation (s) = 6
- Confidence level = 95%
#### Steps:
**a.** Determine the 95% confidence interval for \(\mu\).
(Round to three decimal places as needed.)
**b.** Find the margin of error by taking half the length of the confidence interval.
(Round to three decimal places as needed.)
**c.** Obtain the margin of error using the formula:
\[
t_{\alpha/2} \cdot \frac{s}{\sqrt{n}}
\]
(Round to three decimal places as needed.)
---
#### Resources:
- Click here to view **Page 1** of the table of t-values with area alpha to its right.
- Click here to view **Page 2** of the table of t-values with area alpha to its right.
### Explanation of Symbols:
- \(\bar{x}\) = Sample mean
- \(n\) = Sample size
- \(s\) = Sample standard deviation
- \(t_{\alpha/2}\) = t-value for confidence level
- \(\mu\) = Population mean estimate
Note: Ensure to access the provided t-table to find the accurate \(t_{\alpha/2}\) value for calculation.
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