Express the confidence interval 89.4 % ± 4.4 % in interval form. Express the answer in decimal format (do not enter as percents).
Express the confidence interval 89.4 % ± 4.4 % in interval form. Express the answer in decimal format (do not enter as percents).
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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![**Exercise: Confidence Interval Conversion**
**Task:**
Express the confidence interval 89.4% ± 4.4% in interval form.
- Enter the answer in decimal format (do not enter as percents).
**Resources:**
For assistance, you can view the [Video].
**Submission:**
Click the "Submit Question" button to proceed.
---
**Explanation:**
To convert the given confidence interval 89.4% ± 4.4% to an interval form, perform the following steps:
1. Convert percentages to decimals by dividing by 100:
- 89.4% becomes 0.894
- 4.4% becomes 0.044
2. Calculate the lower and upper bounds of the interval:
- Lower bound = 0.894 - 0.044 = 0.850
- Upper bound = 0.894 + 0.044 = 0.938
Thus, the confidence interval in decimal form is (0.850, 0.938).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c0255f0-f478-421c-a420-8f7475329d1c%2Fdbc7196b-5344-495e-8781-251d46e13dce%2F42xydtp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise: Confidence Interval Conversion**
**Task:**
Express the confidence interval 89.4% ± 4.4% in interval form.
- Enter the answer in decimal format (do not enter as percents).
**Resources:**
For assistance, you can view the [Video].
**Submission:**
Click the "Submit Question" button to proceed.
---
**Explanation:**
To convert the given confidence interval 89.4% ± 4.4% to an interval form, perform the following steps:
1. Convert percentages to decimals by dividing by 100:
- 89.4% becomes 0.894
- 4.4% becomes 0.044
2. Calculate the lower and upper bounds of the interval:
- Lower bound = 0.894 - 0.044 = 0.850
- Upper bound = 0.894 + 0.044 = 0.938
Thus, the confidence interval in decimal form is (0.850, 0.938).
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