Suppose that the average number of Facebook friends users have is normally distributed with a mean of 142 and a standard deviation of about 57. Assume forty-six 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 46, find the probability that the average number of friends is more than 139. .           , is the assumption that the distribution is normal necessary? No or Yes Find the first quartile for the average number of Facebook friends. .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 142 and a standard deviation of about 57. Assume forty-six 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 46, find the probability that the average number of friends is more than 139. .           , is the assumption that the distribution is normal necessary? No or Yes
  3. Find the first quartile for the average number of Facebook friends. .      
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