Find the critical values x1-g/2 and x/2 for a 95% confidence level and a sample size of n = 10. 21-a/2= (Round to three decimal places as needed.)
Find the critical values x1-g/2 and x/2 for a 95% confidence level and a sample size of n = 10. 21-a/2= (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
![**Instructions for Finding Critical Values in Chi-Square Distribution**
To determine the critical values for a chi-square distribution with a 95% confidence level and a sample size, follow these steps:
1. **Given Parameters:**
- Confidence Level: 95%
- Sample Size (\(n\)): 10
2. **Objective:**
- Find the critical values \(\chi^2_{1-\alpha/2}\) and \(\chi^2_{\alpha/2}\).
3. **Formula:**
- For a 95% confidence level, \(\alpha\) (alpha) = 1 - 0.95 = 0.05.
- Thus, \(\alpha/2 = 0.025\).
4. **Chi-Square Critical Values:**
- Use a chi-square distribution table or calculator to find \(\chi^2_{1-\alpha/2}\) and \(\chi^2_{\alpha/2}\) with \(df = n - 1 = 10 - 1 = 9\).
5. **Display:**
- \(\chi^2_{1-\alpha/2} = \) [Box for answer]
- *(Round to three decimal places as needed.)*
Input your calculated values into the provided space.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac9c6941-fcbd-4d0f-a0fa-57d2e8e41463%2Fb6fdb7b6-41b5-43bd-9452-410155dd532c%2Fhy110q4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instructions for Finding Critical Values in Chi-Square Distribution**
To determine the critical values for a chi-square distribution with a 95% confidence level and a sample size, follow these steps:
1. **Given Parameters:**
- Confidence Level: 95%
- Sample Size (\(n\)): 10
2. **Objective:**
- Find the critical values \(\chi^2_{1-\alpha/2}\) and \(\chi^2_{\alpha/2}\).
3. **Formula:**
- For a 95% confidence level, \(\alpha\) (alpha) = 1 - 0.95 = 0.05.
- Thus, \(\alpha/2 = 0.025\).
4. **Chi-Square Critical Values:**
- Use a chi-square distribution table or calculator to find \(\chi^2_{1-\alpha/2}\) and \(\chi^2_{\alpha/2}\) with \(df = n - 1 = 10 - 1 = 9\).
5. **Display:**
- \(\chi^2_{1-\alpha/2} = \) [Box for answer]
- *(Round to three decimal places as needed.)*
Input your calculated values into the provided space.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman