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
icon
Related questions
Question
**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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman