For each level of confidence c below, determine the corresponding normal confidence interval. Assume each confidence interval is constructed for the same sample statistics. 17.c=0.85 18. c=0.90 19. c=0.95 20. c=0.98 54.5 59.3 55.2 58.6 x= 56.9 x= 56.9 + 53 54 55 56 57 58 59 60 61 53 54 55 56 57 58 59 60 61 54.9 58.9 55.4 58.4 x= 56.9 x= 56.9 53 54 5 56 57 58 59 60 61 53 54 55 56 57 58 59 60 61 Drag each normal confidence interval given above to the level of confidence c. 17. 18. 19. 20.
For each level of confidence c below, determine the corresponding normal confidence interval. Assume each confidence interval is constructed for the same sample statistics. 17.c=0.85 18. c=0.90 19. c=0.95 20. c=0.98 54.5 59.3 55.2 58.6 x= 56.9 x= 56.9 + 53 54 55 56 57 58 59 60 61 53 54 55 56 57 58 59 60 61 54.9 58.9 55.4 58.4 x= 56.9 x= 56.9 53 54 5 56 57 58 59 60 61 53 54 55 56 57 58 59 60 61 Drag each normal confidence interval given above to the level of confidence c. 17. 18. 19. 20.
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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Transcribed Image Text:**Understanding Normal Confidence Intervals**
In the image provided, we are tasked with determining the corresponding normal confidence interval for different levels of confidence. Each confidence interval is constructed using the same sample statistics.
**Levels of Confidence and Corresponding Intervals:**
1. **Confidence Level (c) = 0.85**
- Interval: (54.5, 59.3)
- The interval is displayed on a number line ranging from 53 to 61, with the mean (x̄) marked at 56.9. The arrows indicate the span of the confidence interval from 54.5 to 59.3.
2. **Confidence Level (c) = 0.90**
- Interval: (54.9, 58.9)
- This interval is also shown on a similar number line. The mean remains at 56.9, and the interval is slightly narrower from 54.9 to 58.9.
3. **Confidence Level (c) = 0.95**
- Interval: (55.2, 58.6)
- Here, the interval narrows further with bounds from 55.2 to 58.6, yet the mean stays consistent at 56.9.
4. **Confidence Level (c) = 0.98**
- Interval: (55.4, 58.4)
- The most precise interval is illustrated, with the upper and lower bounds being closest together between 55.4 and 58.4, holding the mean at 56.9.
**Task:**
You need to match each confidence interval depicted above to its respective level of confidence.
**Note:**
These visual aids help in understanding how increasing the confidence level leads to narrower intervals, indicating more precision in estimating the true population parameter. Understanding these can be essential for students studying statistics and working with data analysis.
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