2. Based on a sample of 100 participants, a 95% confidence interval for the average weight loss the first month under a new weight loss program is 11.4 Ibs, plus or minus .51. A. What is the confidence level? B. What is the range of values for the confidence interval? C. What is the margin of error?
2. Based on a sample of 100 participants, a 95% confidence interval for the average weight loss the first month under a new weight loss program is 11.4 Ibs, plus or minus .51. A. What is the confidence level? B. What is the range of values for the confidence interval? C. What is the margin of error?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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
Transcribed Image Text:**Problem Statement:**
Based on a sample of 100 participants, a 95% confidence interval for the average weight loss the first month under a new weight loss program is 11.4 lbs, plus or minus 0.51.
**Questions:**
A. What is the confidence level?
B. What is the range of values for the confidence interval?
C. What is the margin of error?
**Solution:**
- **A. What is the confidence level?**
The confidence level is 95%.
- **B. What is the range of values for the confidence interval?**
The range of values for the confidence interval is calculated by subtracting and adding the margin of error to the average weight loss:
- Lower limit: \(11.4 - 0.51 = 10.89\) lbs
- Upper limit: \(11.4 + 0.51 = 11.91\) lbs
So, the range is 10.89 lbs to 11.91 lbs.
- **C. What is the margin of error?**
The margin of error is 0.51 lbs.
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