Test the claim that the mean GPA of night students is larger than 2.1 at the 0.01 significance level. The null and alternative hypotheses would be: Но:р - 0.525 Но: и - 2.1 Но:р — 2.1 Но: — 2.1 Н:р 3 0.525 Н:р 3 0.525 Ho:P %3D |3D %3D H1:p > 0.525 H1:u2.1 H:µ > 2.1 H:µ< 2.1 H:p < 0.525 H1:p 0.525 The test is: left-tailed two-tailed right-tailed Based on a sample of 38 people, the sample mean GPA was 2.11 with a standard deviation of 0.2 The p-value is: (to 3 decimals) (to 2 decimals) The significance level is:
Test the claim that the mean GPA of night students is larger than 2.1 at the 0.01 significance level. The null and alternative hypotheses would be: Но:р - 0.525 Но: и - 2.1 Но:р — 2.1 Но: — 2.1 Н:р 3 0.525 Н:р 3 0.525 Ho:P %3D |3D %3D H1:p > 0.525 H1:u2.1 H:µ > 2.1 H:µ< 2.1 H:p < 0.525 H1:p 0.525 The test is: left-tailed two-tailed right-tailed Based on a sample of 38 people, the sample mean GPA was 2.11 with a standard deviation of 0.2 The p-value is: (to 3 decimals) (to 2 decimals) The significance level is:
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
Topic Video
Question
![**Test the Claim: Mean GPA of Night Students**
**Objective:**
Test the claim that the mean GPA of night students is greater than 2.1 at a 0.01 significance level.
**Hypotheses:**
- **Null Hypothesis (\(H_0\)):** \(\mu \leq 2.1\)
- **Alternative Hypothesis (\(H_1\)):** \(\mu > 2.1\)
**Test Type:**
Select the appropriate test type:
- Left-tailed
- Two-tailed
- **Right-tailed** (Chosen because we are testing if the mean is greater)
**Sample Data:**
- **Sample Size:** 38 people
- **Sample Mean GPA:** 2.11
- **Standard Deviation:** 0.2
**Statistical Analysis:**
- **P-value:** (To be filled in by the student, rounded to 3 decimals)
- **Significance Level:** 0.01
**Decision:**
Based on the calculated p-value:
- "Fail to reject the null hypothesis" if the p-value is greater than or equal to 0.01.
- "Reject the null hypothesis" if the p-value is less than 0.01.
**Instruction:**
Students are encouraged to submit the correct values and conclusions through the form. For additional help, contact the instructor.
**Action:**
Click "Submit Question" after filling in the required information.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F529db7cb-e964-4c29-8627-9703154d66b7%2Fe157036b-3b66-41c7-91e2-977fb2ab81d6%2Fze0b4sb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Test the Claim: Mean GPA of Night Students**
**Objective:**
Test the claim that the mean GPA of night students is greater than 2.1 at a 0.01 significance level.
**Hypotheses:**
- **Null Hypothesis (\(H_0\)):** \(\mu \leq 2.1\)
- **Alternative Hypothesis (\(H_1\)):** \(\mu > 2.1\)
**Test Type:**
Select the appropriate test type:
- Left-tailed
- Two-tailed
- **Right-tailed** (Chosen because we are testing if the mean is greater)
**Sample Data:**
- **Sample Size:** 38 people
- **Sample Mean GPA:** 2.11
- **Standard Deviation:** 0.2
**Statistical Analysis:**
- **P-value:** (To be filled in by the student, rounded to 3 decimals)
- **Significance Level:** 0.01
**Decision:**
Based on the calculated p-value:
- "Fail to reject the null hypothesis" if the p-value is greater than or equal to 0.01.
- "Reject the null hypothesis" if the p-value is less than 0.01.
**Instruction:**
Students are encouraged to submit the correct values and conclusions through the form. For additional help, contact the instructor.
**Action:**
Click "Submit Question" after filling in the required information.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman