Which interval is which? Matilda constructed three confidence intervals, all from the same random sample. The confidence levels are 95%, 98%, and 99.9% The confidence intervals are 1. 8.3<µ<9.7 II. 7.8 <µ <10.2 m. 8.2
Which interval is which? Matilda constructed three confidence intervals, all from the same random sample. The confidence levels are 95%, 98%, and 99.9% The confidence intervals are 1. 8.3<µ<9.7 II. 7.8 <µ <10.2 m. 8.2
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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![**Understanding Confidence Intervals**
Matilda constructed three confidence intervals, all from the same random sample. The confidence levels are 95%, 98%, and 99.9%. The confidence intervals are as follows:
1. \(8.3 < \mu < 9.7\)
2. \(7.8 < \mu < 10.2\)
3. \(8.2 < \mu < 9.8\)
Unfortunately, Matilda has forgotten which confidence interval corresponds to which confidence level. Match each confidence interval with its respective level:
- \(8.3 < \mu < 9.7\) is the [Choose one] confidence interval.
- \(7.8 < \mu < 10.2\) is the [Choose one] confidence interval.
- \(8.2 < \mu < 9.8\) is the [Choose one] confidence interval.
**Explanation of Graphs or Diagrams:**
This interactive exercise is designed to help users understand how different confidence levels affect the width of confidence intervals. A higher confidence level corresponds to a wider interval, as it must account for more of the data's variability. This exercise allows students to actively engage by matching the intervals with their confidence levels.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87b92f43-2f4d-4033-8a65-475879bd1817%2F42e786b3-85ce-4184-b31e-cc390dd64256%2Fvgng0ul_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Confidence Intervals**
Matilda constructed three confidence intervals, all from the same random sample. The confidence levels are 95%, 98%, and 99.9%. The confidence intervals are as follows:
1. \(8.3 < \mu < 9.7\)
2. \(7.8 < \mu < 10.2\)
3. \(8.2 < \mu < 9.8\)
Unfortunately, Matilda has forgotten which confidence interval corresponds to which confidence level. Match each confidence interval with its respective level:
- \(8.3 < \mu < 9.7\) is the [Choose one] confidence interval.
- \(7.8 < \mu < 10.2\) is the [Choose one] confidence interval.
- \(8.2 < \mu < 9.8\) is the [Choose one] confidence interval.
**Explanation of Graphs or Diagrams:**
This interactive exercise is designed to help users understand how different confidence levels affect the width of confidence intervals. A higher confidence level corresponds to a wider interval, as it must account for more of the data's variability. This exercise allows students to actively engage by matching the intervals with their confidence levels.
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