A data set includes data from 400 random tornadoes. The display from technology available below results from using the tomado lengths (miles) to test the claim that the mean tornado length is greater than 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim.
A data set includes data from 400 random tornadoes. The display from technology available below results from using the tomado lengths (miles) to test the claim that the mean tornado length is greater than 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim.
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
Question
![A data set includes data from 400 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean
tornado length is greater than 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value.
State the final conclusion that addresses the original claim.
Hypothesis test results:
Mean of variable
| Ho H=2.6
HAH>2.6
Variable Sample Mean
Length
2.75311
Std. Err. DF
0.274284 399
T-Stat
0.558217
P-value
0.2885
OA. Fail to reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles.
OB. Reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles.
OC. Reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
OD. Fail to reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa76bd0b7-2089-4daa-981f-503abd4ebc73%2Ff98ce882-ec30-43ff-9583-4994ef8af1e6%2Fxp4kchi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A data set includes data from 400 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean
tornado length is greater than 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value.
State the final conclusion that addresses the original claim.
Hypothesis test results:
Mean of variable
| Ho H=2.6
HAH>2.6
Variable Sample Mean
Length
2.75311
Std. Err. DF
0.274284 399
T-Stat
0.558217
P-value
0.2885
OA. Fail to reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles.
OB. Reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles.
OC. Reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
OD. Fail to reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Test is that whether the mean tomado length is greater than 2.6 miles.
It is given that
Level of significance = 0.05
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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