Previously an organization reported that American teenagers spent an average of 4.5 hours per week on the phone. A survey was conducted to determine if the mean is now higher in 2023. At hypothesis test with a significance level of a = 0.05 is conducted with an alternative hypothesis of HA:μ> 4. 5. Fifteen randomly chosen teenagers were asked how many hours per week they spend on their phone. The sample mean was 4.75 hours with a standard deviation of 2. This resulted in a test statistic of t = 0.48 and a p-value of 0. 318. Determine the appropriate interpretation of these results. There is a 31.8% chance that the true mean time American teenagers spend on their phone is 4.75 hours. There is a 31.8% chance that the true mean time American teenagers spend on their phone is more than 4.5 hours. 48% of samples of size 15 from the population of American teenagers have a mean length spent on their phone of more than 4.5 hours. If the mean time spent on the phone is 4.5 hours for all American teenagers, roughly 31.8% of samples of size 15 would have a mean as large as 4.75 hours.
Previously an organization reported that American teenagers spent an average of 4.5 hours per week on the phone. A survey was conducted to determine if the mean is now higher in 2023. At hypothesis test with a significance level of a = 0.05 is conducted with an alternative hypothesis of HA:μ> 4. 5. Fifteen randomly chosen teenagers were asked how many hours per week they spend on their phone. The sample mean was 4.75 hours with a standard deviation of 2. This resulted in a test statistic of t = 0.48 and a p-value of 0. 318. Determine the appropriate interpretation of these results. There is a 31.8% chance that the true mean time American teenagers spend on their phone is 4.75 hours. There is a 31.8% chance that the true mean time American teenagers spend on their phone is more than 4.5 hours. 48% of samples of size 15 from the population of American teenagers have a mean length spent on their phone of more than 4.5 hours. If the mean time spent on the phone is 4.5 hours for all American teenagers, roughly 31.8% of samples of size 15 would have a mean as large as 4.75 hours.
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
![Previously an organization reported that American teenagers spent an average of 4.5
hours per week on the phone. A survey was conducted to determine if the mean is
now higher in 2023. At hypothesis test with a significance level of α = 0.05 is
conducted with an alternative hypothesis of HA:μ> 4. 5. Fifteen randomly
chosen teenagers were asked how many hours per week they spend on their
phone. The sample mean was 4.75 hours with a standard deviation of 2. This
resulted in a test statistic of t = 0.48 and a p-value of 0. 318. Determine
the appropriate interpretation of these results.
There is a 31.8% chance that the true mean time American teenagers spend on
their phone is 4.75 hours.
There is a 31.8% chance that the true mean time American teenagers spend on
their phone is more than 4.5 hours.
48% of samples of size 15 from the population of American teenagers have a
mean length spent on their phone of more than 4.5 hours.
If the mean time spent on the phone is 4.5 hours for all American teenagers,
roughly 31.8% of samples of size 15 would have a mean as large as 4.75 hours.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d080780-5c63-4e0e-8c66-b429a096932a%2F3abca02e-3382-4abc-8453-7d6124a87d35%2Fwzbtq6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Previously an organization reported that American teenagers spent an average of 4.5
hours per week on the phone. A survey was conducted to determine if the mean is
now higher in 2023. At hypothesis test with a significance level of α = 0.05 is
conducted with an alternative hypothesis of HA:μ> 4. 5. Fifteen randomly
chosen teenagers were asked how many hours per week they spend on their
phone. The sample mean was 4.75 hours with a standard deviation of 2. This
resulted in a test statistic of t = 0.48 and a p-value of 0. 318. Determine
the appropriate interpretation of these results.
There is a 31.8% chance that the true mean time American teenagers spend on
their phone is 4.75 hours.
There is a 31.8% chance that the true mean time American teenagers spend on
their phone is more than 4.5 hours.
48% of samples of size 15 from the population of American teenagers have a
mean length spent on their phone of more than 4.5 hours.
If the mean time spent on the phone is 4.5 hours for all American teenagers,
roughly 31.8% of samples of size 15 would have a mean as large as 4.75 hours.
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 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