4:09 PM webassign.net .1 Sprint @ 82% A 2014 Pew study found that the average US

Question

4:09 PM webassign.net .1 Sprint @ 82% A 2014 Pew study found that the average US Facebook user has 338 friends The study also found that the median US Facebook user has 200 friends. What does this imply about the distribution of the variable "number of Facebook friends ? (You have two attempts for this problem, and five attempts each for the O The distribution is right skewed O The distribution is bimodal O The distribution is symmetrical O The distribution is normal O The distribution is left skewed O The distribution is trending O The distribution is approximately Q3 The Pew study did not report a standard deviation, but given the number of Facebook friends is highly variable, let's suppose that the standard deviation is 205. Let's also suppose that 338 and 205 are population values (they aren't, but we don't know the true population values so this is the best we can do). (Use 3 decimal place precision for parts a., b., and c.) a. If we randomly sample 120 Facebook users, what is the probability that the mean number of friends will be less than 3417 b. If we randomly sample 117 Facebook users, what is the probability that the mean number of friends will be less than 315? c. If we randomly sample 500 Facebook users, what is the probability that the mean number of friends will be greater than 341? (Round to the nearest integer for parts d. and e.) d. If we repeatedly take samples of n- 500 Facebook users and constructa sampling distribution of mean number of friends, we should expect that 95% of sample means will lie between and e. The 75th percentile of the sampling distribution of mean number of friends, from samples of size n=120, is:

Explanation / Answer

Here the mean is greater than the median. This is common for a distribution that is skewed to the right (that is, bunched up toward the left and with a "tail" stretching toward the right).

Hence answer is The distribution is right skewed

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