When a-0.10 , n=22, and H:u
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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![**Using the Student's t Distribution Table for Critical Values**
**Objective:**
To find the critical value or values for the given values of the significance level \(\alpha\), sample size \(n\), and alternate hypothesis \(H_1\).
**Step-by-Step Solution:**
---
**Part 1 of 4: [Content Redacted]**
---
**Part 2 of 4:**
Given:
- Significance level (\(\alpha\)) = 0.10
- Sample size (\(n\)) = 22
- Alternate hypothesis (\(H_1\)): \(\mu < \mu_0\)
To find the critical t-value:
Locate the corresponding t-value from the Student's t Distribution Table.
- Calculated t-value: \( t = -1.323 \)
A progress bar showing the current completion status of the task is:
- Part 1/4 is 25% complete.
This basic indication assists users in tracking their progress through the parts of the task.
---
**How to Read Critical t-Values:**
For further details on extracting t-values from the table, you may follow these steps:
1. Determine degrees of freedom (df). For sample size (\(n\)) = 22, degrees of freedom (df) = (\(n - 1\)) = 21.
2. Identify the appropriate significance level (\(\alpha\)) for a one-tailed test since \( H_1 \) specifies direction (\(\mu < \mu_0\)).
3. Use the Student's t Distribution Table to find the corresponding t-value by matching df=21 and \(\alpha = 0.10\).
By completing these steps, we understand the statistical significance and the critical points related to our hypothesis testing.
**Additional Notes:**
Use this guide to interpret values and ensure accurate application in hypothesis testing scenarios. For complex cases, reference textbooks or consult tutorials for detailed methodologies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa666cb21-4e01-4a08-9d64-d66a4b2c67e7%2F49134127-752b-45df-a987-57ebce313f6c%2F5vs9nj9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Using the Student's t Distribution Table for Critical Values**
**Objective:**
To find the critical value or values for the given values of the significance level \(\alpha\), sample size \(n\), and alternate hypothesis \(H_1\).
**Step-by-Step Solution:**
---
**Part 1 of 4: [Content Redacted]**
---
**Part 2 of 4:**
Given:
- Significance level (\(\alpha\)) = 0.10
- Sample size (\(n\)) = 22
- Alternate hypothesis (\(H_1\)): \(\mu < \mu_0\)
To find the critical t-value:
Locate the corresponding t-value from the Student's t Distribution Table.
- Calculated t-value: \( t = -1.323 \)
A progress bar showing the current completion status of the task is:
- Part 1/4 is 25% complete.
This basic indication assists users in tracking their progress through the parts of the task.
---
**How to Read Critical t-Values:**
For further details on extracting t-values from the table, you may follow these steps:
1. Determine degrees of freedom (df). For sample size (\(n\)) = 22, degrees of freedom (df) = (\(n - 1\)) = 21.
2. Identify the appropriate significance level (\(\alpha\)) for a one-tailed test since \( H_1 \) specifies direction (\(\mu < \mu_0\)).
3. Use the Student's t Distribution Table to find the corresponding t-value by matching df=21 and \(\alpha = 0.10\).
By completing these steps, we understand the statistical significance and the critical points related to our hypothesis testing.
**Additional Notes:**
Use this guide to interpret values and ensure accurate application in hypothesis testing scenarios. For complex cases, reference textbooks or consult tutorials for detailed methodologies.
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