Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance a, and sample size n. Right-tailed test, a = 0.005, n= 19 Click the icon to view the t-distribution table. The critical value(s) is/are (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.)
Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance a, and sample size n. Right-tailed test, a = 0.005, n= 19 Click the icon to view the t-distribution table. The critical value(s) is/are (Round to the nearest thousandth as needed. Use a comma to separate answers 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
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![**Finding the Critical Values and Rejection Regions for a T-Test**
To determine the critical value(s) and rejection region(s) for a one-sample t-test, consider the following parameters:
- **Test Type**: Right-tailed test
- **Level of Significance** (\(\alpha\)): 0.005
- **Sample Size** (\(n\)): 19
**Procedure**:
1. **Access the t-Distribution Table**: Use the provided icon to view the t-distribution table, which is necessary for finding critical values based on degrees of freedom and the level of significance.
2. **Calculate Degrees of Freedom (df)**:
- \(df = n - 1 = 19 - 1 = 18\)
3. **Determine the Critical Value**:
- Using the t-distribution table, look up the critical value corresponding to \(df = 18\) and \(\alpha = 0.005\) for a right-tailed test.
4. **Input the Critical Value**: Once found, ensure the critical value is rounded to the nearest thousandth as required.
**Conclusion**:
- **The Critical Value(s)**:
- Enter the critical value(s) in the space provided, using commas to separate multiple values if applicable. Ensure accuracy by reviewing the table entries.
- **Note**: The critical value denotes the cutoff point beyond which the null hypothesis will be rejected in favor of the alternative hypothesis at the specified significance level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40af4702-0490-4dd6-b89f-83ddf43fab87%2Fb6b2a062-9ea2-48e5-8bb5-5ed11bf11133%2Fkw078ui_processed.png&w=3840&q=75)
Transcribed Image Text:**Finding the Critical Values and Rejection Regions for a T-Test**
To determine the critical value(s) and rejection region(s) for a one-sample t-test, consider the following parameters:
- **Test Type**: Right-tailed test
- **Level of Significance** (\(\alpha\)): 0.005
- **Sample Size** (\(n\)): 19
**Procedure**:
1. **Access the t-Distribution Table**: Use the provided icon to view the t-distribution table, which is necessary for finding critical values based on degrees of freedom and the level of significance.
2. **Calculate Degrees of Freedom (df)**:
- \(df = n - 1 = 19 - 1 = 18\)
3. **Determine the Critical Value**:
- Using the t-distribution table, look up the critical value corresponding to \(df = 18\) and \(\alpha = 0.005\) for a right-tailed test.
4. **Input the Critical Value**: Once found, ensure the critical value is rounded to the nearest thousandth as required.
**Conclusion**:
- **The Critical Value(s)**:
- Enter the critical value(s) in the space provided, using commas to separate multiple values if applicable. Ensure accuracy by reviewing the table entries.
- **Note**: The critical value denotes the cutoff point beyond which the null hypothesis will be rejected in favor of the alternative hypothesis at the specified significance level.
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