Suppose that the average number of Facebook friends users have is normally distributed with a mean of 130 and a standard deviation of about 55. Assume eleven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of æ? ¤ ~ N( b. For the group of 11, find the probability that the average number of friends is more than 138. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes

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
Suppose that the average number of Facebook friends users have is normally distributed
with a mean of 130 and a standard deviation of about 55. Assume eleven individuals are
randomly chosen. Answer the following questions. Round all answers to 4 decimal places
where possible.
a. What is the distribution of x? a - N(
b. For the group of 11, find the probability that the average number of friends is
more than 138.
c. Find the first quartile for the average number of Facebook friends.
d. For part b), is the assumption that the distribution is normal necessary? O NoO
Yes
Transcribed Image Text:Suppose that the average number of Facebook friends users have is normally distributed with a mean of 130 and a standard deviation of about 55. Assume eleven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of x? a - N( b. For the group of 11, find the probability that the average number of friends is more than 138. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
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