Suppose that the number of Facebook friends users have is normally distributed with a mean of 141 and a standard deviation of about 44. Assume eleven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) --------- , -------- For the group of 11, find the probability that the average number of friends is more than 146. _______ Find the third quartile for the average number of Facebook friends.  Round to 2 decimal places. ______

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose that the number of Facebook friends users have is normally distributed with a mean of 141 and a standard deviation of about 44. Assume eleven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.

  1. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) --------- , --------
  2. For the group of 11, find the probability that the average number of friends is more than 146. _______
  3. Find the third quartile for the average number of Facebook friends.  Round to 2 decimal places. ______
  4. For part b), is the assumption that the distribution is normal necessary? No Yes
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