Express the confidence interval 0.814 +0.058 in open interval form (i.e., (0.155,0.855)).
Express the confidence interval 0.814 +0.058 in open interval form (i.e., (0.155,0.855)).
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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![**Transcription for Educational Website**
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**Instructions:**
Express the confidence interval \(0.814 \pm 0.058\) in open interval form (i.e., \( (0.155, 0.855) \)).
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**Explanation:**
To express the given confidence interval \(0.814 \pm 0.058\) in open interval form, you need to calculate the lower and upper limits.
- **Lower limit:** Subtract the margin of error from the mean.
\[
0.814 - 0.058 = 0.756
\]
- **Upper limit:** Add the margin of error to the mean.
\[
0.814 + 0.058 = 0.872
\]
Thus, the confidence interval in open interval form is \((0.756, 0.872)\).
No graphs or diagrams are included.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfbe6a76-33fb-4739-b913-a49b2ab2e0d7%2F9adfda82-32ff-4f59-9d89-c7ed70967dbf%2Fjflgfz4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Instructions:**
Express the confidence interval \(0.814 \pm 0.058\) in open interval form (i.e., \( (0.155, 0.855) \)).
[Input box for user response]
---
**Explanation:**
To express the given confidence interval \(0.814 \pm 0.058\) in open interval form, you need to calculate the lower and upper limits.
- **Lower limit:** Subtract the margin of error from the mean.
\[
0.814 - 0.058 = 0.756
\]
- **Upper limit:** Add the margin of error to the mean.
\[
0.814 + 0.058 = 0.872
\]
Thus, the confidence interval in open interval form is \((0.756, 0.872)\).
No graphs or diagrams are included.
Expert Solution
Step 1: Write down the given information
Confidence interval :
C.I = [0.814 ± 0.058]
Confidence interval is the range of values , which gives the surity for a definite probability that population mean lie within that range .
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