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
icon
Related questions
Topic Video
Question
**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.
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.
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman