Suppose that the average number of Facebook friends users have is normally distributed with a mean of 122 and a standard deviation of about 60. Assume seventeen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? a- N( 122 60 b. For the group of 17, find the probability that the average number of friends is less than 135. 0.8133 X c. Find the third quartile for the average number of Facebook friends. 131.74 X d. For part b), is the assumption that the distribution is normal necessary? Yes No

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Author:Amos Gilat
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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 122
and a standard deviation of about 60. Assume seventeen individuals are randomly chosen. Answer the
following questions. Round all answers to 4 decimal places where possible.
a. What is the distribution of x? ¤
N( 122
60
b. For the group of 17, find the probability that the average number of friends is less than 135. 0.8133 X
c. Find the third quartile for the average number of Facebook friends. 131.74 X
d. For part b), is the assumption that the distribution is normal necessary?
Yes
No
Transcribed Image Text:Suppose that the average number of Facebook friends users have is normally distributed with a mean of 122 and a standard deviation of about 60. Assume seventeen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of x? ¤ N( 122 60 b. For the group of 17, find the probability that the average number of friends is less than 135. 0.8133 X c. Find the third quartile for the average number of Facebook friends. 131.74 X d. For part b), is the assumption that the distribution is normal necessary? Yes No
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