Suppose that the average number of Facebook friends users have is normally distributed with a mean of 15 and a standard deviation of about 58. Assume forty-eight individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? N 150 ✓58 b. For the group of 48, find the probability that the average number of friends is more than 147. 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? Yes No o

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 150
and a standard deviation of about 58. Assume forty-eight individuals are randomly chosen. Answer the
following questions. Round all answers to 4 decimal places where possible.
a. What is the distribution of ? N 150
58
b. For the group of 48, find the probability that the average number of friends is more than 147.
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? Yes No o
Transcribed Image Text:Suppose that the average number of Facebook friends users have is normally distributed with a mean of 150 and a standard deviation of about 58. Assume forty-eight individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? N 150 58 b. For the group of 48, find the probability that the average number of friends is more than 147. 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? Yes No o
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