A social media analyst wanted to know the average number of Facebook friends that young people of ages 13-16 have. She took a random sample of 100 children of ages 13-16 years old and found out that the average number of friends they have is x ̅ = 120 with a population standard deviation of σ = 12.4. Use 95% confidence interval for the mean number of friends of all Facebook users of ages 13-16 Based on the problem above, what is α/2 (alpha/2)?  What is its Zα/2? Based on the problem, what is its margin of error? What is its confidence interval?

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

A social media analyst wanted to know the average number of Facebook friends that young people of ages 13-16 have. She took a random sample of 100 children of ages 13-16 years old and found out that the average number of friends they have is x ̅ = 120 with a population standard deviation of σ = 12.4. Use 95% confidence interval for the mean number of friends of all Facebook users of ages 13-16

Based on the problem above, what is α/2 (alpha/2)? 
What is its Zα/2?
Based on the problem, what is its margin of error?
What is its confidence interval?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
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