1) Assuming 11 degrees of freedom, find to.09(df). to.09(df) = 2) Assuming 15 degrees of freedom, find to.96(df). to.96(df) =
1) Assuming 11 degrees of freedom, find to.09(df). to.09(df) = 2) Assuming 15 degrees of freedom, find to.96(df). to.96(df) =
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
![### Finding T-Distribution Critical Values
1) **Problem 1:**
- **Task:** Assuming 11 degrees of freedom, find \( t_{0.09}(df) \).
- **Solution Box:** \[ t_{0.09}(df) = \_\_\_\_\_\_\_\_\_ \]
2) **Problem 2:**
- **Task:** Assuming 15 degrees of freedom, find \( t_{0.96}(df) \).
- **Solution Box:** \[ t_{0.96}(df) = \_\_\_\_\_\_\_\_\_ \]
### Explanation:
The task is to find the critical t-values for specific degrees of freedom and given probabilities. Use a t-distribution table or statistical software to find these values. The t-distribution is commonly used in statistical analyses to determine the critical value for hypothesis testing or confidence interval estimation when the sample size is small.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F699994d7-16e4-474d-b91b-175e045f5d68%2Fa37f4dfb-df09-409c-baa0-b9bad33556e2%2Faw9fd44_processed.png&w=3840&q=75)
Transcribed Image Text:### Finding T-Distribution Critical Values
1) **Problem 1:**
- **Task:** Assuming 11 degrees of freedom, find \( t_{0.09}(df) \).
- **Solution Box:** \[ t_{0.09}(df) = \_\_\_\_\_\_\_\_\_ \]
2) **Problem 2:**
- **Task:** Assuming 15 degrees of freedom, find \( t_{0.96}(df) \).
- **Solution Box:** \[ t_{0.96}(df) = \_\_\_\_\_\_\_\_\_ \]
### Explanation:
The task is to find the critical t-values for specific degrees of freedom and given probabilities. Use a t-distribution table or statistical software to find these values. The t-distribution is commonly used in statistical analyses to determine the critical value for hypothesis testing or confidence interval estimation when the sample size is small.
Expert Solution
Step 1
here use t distribution table for getting t critical value
Step by step
Solved in 2 steps with 1 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