Hypothesis test results: H: Mean of variable Ho : µ= 2.2 HA : H> 2.2 Variable Sample Mean Std. Err. Length DF T-Stat P-value 2.46821 0.276896 399 0.968631 0.1667

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
Question
Hypothesis Test Results:

- **μ**: Mean of variable

- **Null Hypothesis (H₀)**: μ = 2.2

- **Alternative Hypothesis (Hₐ)**: μ > 2.2

| Variable | Sample Mean | Std. Err. | DF | T-Stat | P-value |
|----------|-------------|-----------|----|--------|---------|
| Length   | 2.46821     | 0.276896  | 399| 0.968631| 0.1667  |

**Explanation:**

- **Sample Mean (2.46821)**: The average measured value from the sample data.
- **Standard Error (0.276896)**: The estimated standard deviation of the sample mean, indicating variability.
- **Degrees of Freedom (DF = 399)**: The number of independent values in the dataset.
- **T-Statistic (0.968631)**: The test statistic used to determine how far the sample mean is from the null hypothesis mean.
- **P-value (0.1667)**: The probability of observing the data, or something more extreme, if the null hypothesis is true. A lower P-value suggests stronger evidence against the null hypothesis.
Transcribed Image Text:Hypothesis Test Results: - **μ**: Mean of variable - **Null Hypothesis (H₀)**: μ = 2.2 - **Alternative Hypothesis (Hₐ)**: μ > 2.2 | Variable | Sample Mean | Std. Err. | DF | T-Stat | P-value | |----------|-------------|-----------|----|--------|---------| | Length | 2.46821 | 0.276896 | 399| 0.968631| 0.1667 | **Explanation:** - **Sample Mean (2.46821)**: The average measured value from the sample data. - **Standard Error (0.276896)**: The estimated standard deviation of the sample mean, indicating variability. - **Degrees of Freedom (DF = 399)**: The number of independent values in the dataset. - **T-Statistic (0.968631)**: The test statistic used to determine how far the sample mean is from the null hypothesis mean. - **P-value (0.1667)**: The probability of observing the data, or something more extreme, if the null hypothesis is true. A lower P-value suggests stronger evidence against the null hypothesis.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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