Suppose that the number of Facebook friends users have is normally distributed with a mean of 132 and a standard deviation of about 45. 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( 132 45 b. For the group of 48, find the probability that the average number of friends is less than 128. c. Find the first 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 YesO No Question Help: Written Example

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 number of Facebook friends users have is normally distributed with a mean of 132 and a
standard deviation of about 45. 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(( 132
45
b. For the group of 48, find the probability that the average number of friends is less than 128.
c. Find the first 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 YesO No
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Transcribed Image Text:Suppose that the number of Facebook friends users have is normally distributed with a mean of 132 and a standard deviation of about 45. 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(( 132 45 b. For the group of 48, find the probability that the average number of friends is less than 128. c. Find the first 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 YesO No Question Help: Written Example > Next Question 80 DI DD F1 F2 F3 F4 F5 F6 F7 F8 F9 F10
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