Suppose that the average number of Facebook friends users have is normally distributed with a mean of 119 and a standard deviation of about 48. Assume forty-three 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 43, find the probability that the average number of friends is less than 112.Find the third quartile for the average number of Facebook friends.For part b), is the assumption that the distribution is normal necessary? YesNo Submit Question

Name: Suppose that the average number of Facebook friends users have is norm
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Description: Suppose that the average number of Facebook friends users have is normally distributed with a mean of 119 and a standard deviation of about 48. Assume forty-three individuals are randomly chosen. Answer the following questions. Round all answers to 4

Mean of the sampling distribution of the sample mean is, Thus, the Mean of the sampling…

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 119 and a standard deviation of about 48. Assume forty-three 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 43, find the probability that the average number of friends is less than 112.
Find the third quartile for the average number of Facebook friends.
For part b), is the assumption that the distribution is normal necessary? YesNo

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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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