a. What is the distribution of x? a N( 111 42 b. For the group of 7, find the probability that the average number of friends is less than 96. c. Find the third quartile for the average number of Facebook friends.

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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111
and a standard deviation of about 42. Assume seven individuals are randomly chosen. Answer the following
questions. Round all answers to 4 decimal places where possible.
a. What is the distribution of ? ¤ - N( 111
42
b. For the group of 7, find the probability that the average number of friends is less than 96.
c. Find the third quartile for the average number of Facebook friends.
d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes
Hint:
Some Helpful Videos:
Finding the Sampling Distribution [+]
Finding a Probability Using the Central Limit Theorem [+]
Finding Value Given a Probability Using the Central Limit Theorem [+1
• The Central Limit Theorem For Sums 2 [+]
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Transcribed Image Text:Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 42. Assume seven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of ? ¤ - N( 111 42 b. For the group of 7, find the probability that the average number of friends is less than 96. c. Find the third quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? O NoO Yes Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] Finding Value Given a Probability Using the Central Limit Theorem [+1 • The Central Limit Theorem For Sums 2 [+] Hint Submit Question
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