Suppose that the number of Facebook friends users have is normally distributed with a mean of 128 and a standard deviation of about 53. Assume forty-seven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? N( b. For the group of 47, find the probability that the average number of friends is less than 122. c. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? O No Yes

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 number of Facebook friends users have is normally distributed with a mean of 128 and a
standard deviation of about 53. Assume forty-seven individuals are randomly chosen. Answer the following
questions. Round all answers to 4 decimal places where possible.
a. What is the distribution of ? - N(
b. For the group of 47, find the probability that the average number of friends is less than 122.
c. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places.
d. For part b), is the assumption that the distribution is normal necessary? O No Yes
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Transcribed Image Text:Suppose that the number of Facebook friends users have is normally distributed with a mean of 128 and a standard deviation of about 53. Assume forty-seven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? - N( b. For the group of 47, find the probability that the average number of friends is less than 122. c. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? O No Yes Question Help: Written Example Message instructor Submit Question
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