Suppose that the average number of Facebook friends users have is normally distributed with a mean of 144 and a standard deviation of about 58. 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 less than 150. Find the third quartile for the average number of Facebook friends. For part b), is the assumption that the distribution is normal necessary? YesNo Hint:

Given that Mean=144 Standard deviation=58 Sample size=46 Note: According to bartleby experts…

Answered: Suppose that the average number of…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 7E

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Question

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 144 and a standard deviation of about 58. 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 less than 150.
Find the third quartile for the average number of Facebook friends.
For part b), is the assumption that the distribution is normal necessary? YesNo

Hint:

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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