Question
An exhaustive study of all active Facebook accounts was recently conducted by Facebook. One variable Facebook recorded was the number of friendsXof each Facebook user.
An exhaustive study of all active Facebook accounts was recently conducted by Facebook. One variable Facebook recorded was the number of friendsXof each Facebook user. SupposeXhas expected value E(X) =199and standard deviation SD(X) =295.9. Since the possible values ofXare only integers and since the distribution ofXis highly skewed to the right, the distribution ofXcannotbe described by a normal model. Suppose you select a random sample of30Facebook users and record the number of Facebook friends each user has.
Question 1. What is the probability that the30Facebook users in your sample have a sample mean number of friendsxgreater than197?
(use 4 decimal places in your answer)
Question 2. What is the probability that the30Facebook users in your sample have a sample mean number of friendsxless than197?
(use 4 decimal places in your answer)
Question 3. The Central Limit theorem was needed to answer questions 1 and 2 above.
TrueFalse
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