Suppose that the number of Facebook friends users have is normally distributed with a mean of 125 and a standard deviation of about 46. Assume ten 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 10, find the probability that the average number of friends is less than 145. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places. For part b), is the assumption that the distribution is normal necessary? YesNo

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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 125 and a standard deviation of about 46. Assume ten 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 10, find the probability that the average number of friends is less than 145.
Find the third quartile for the average number of Facebook friends. Round to 2 decimal places.
For part b), is the assumption that the distribution is normal necessary? YesNo

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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