takes only inly not Normal. It is also highly skewed to the right, with a reported median of 200 friends. Suppose that σ= 380 and you take an SRS of 80 adult Facebook users. (a) For your sample, what are the mean and standard deviation of x, the mean number of friends per adult user? (b) Use the central limit theorem to find the probability that the average number of friends for 80 Facebook users is greater than 350.
takes only inly not Normal. It is also highly skewed to the right, with a reported median of 200 friends. Suppose that σ= 380 and you take an SRS of 80 adult Facebook users. (a) For your sample, what are the mean and standard deviation of x, the mean number of friends per adult user? (b) Use the central limit theorem to find the probability that the average number of friends for 80 Facebook users is greater than 350.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:**5.34 Number of friends on Facebook.**
To commemorate Facebook's 10-year milestone, Pew Research reported several facts about Facebook obtained from its Internet Project survey. One was that the average adult user of Facebook has 338 friends. This population distribution...
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This text explores the distribution of friends among Facebook users, specifically focusing on the use of statistical methods to analyze data. Here's a breakdown of the problem:
- The number of Facebook friends per user takes only integer values and is highly skewed to the right.
- The median number of friends reported is 200.
Given Data:
- Standard deviation (σ) = 380
- Sample size = 80 adult Facebook users
Tasks:
(a) **Sample Mean and Standard Deviation**: Determine the mean and standard deviation of \(\bar{x}\), the mean number of friends per adult user for the sample.
(b) **Using the Central Limit Theorem**: Calculate the probability that the average number of friends for the 80 Facebook users is greater than 350.
Understanding this can help you grasp how sample statistics behave and how the Central Limit Theorem aids in making inferences about population parameters.
Expert Solution
Step 1
Given:
= 338
= 380
n = 80
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