A 2014 Pew study found that the average US Facebook user has 338 friends. The st

Question

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 remaining problems) The distribution is bimodal The distribution is right skewed The distribution is normal The distribution is trending The distribution is left skewed The distribution is approximately Q3 The distribution is symmetrical The Pew study did not eport a standard deviation but iven the number o Facebook riends is high var able ets suppose that the standard de at on s 0Let's also suppose that 33 and a e population alues, he 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 344? b. If we randomly sample 113 Facebook users, what is the probability that the mean number of friends will be less than 310? c. If we randomly sample 500 Facebook users, what is the probability that the mean number of friends will be greater than 344? (Round to the nearest integer for parts d. and e.) d. If we repeatedly take samples of n=500 Facebook users and construct a sampling distribution of mean number of friends, we should expect that 95% of sample means will lie between e. The 75th percentile of the sampling distribution of mean number of friends, from samples of size n-120, is and

Explanation / Answer

Solution1:

mean=338

median=200

mean> median

positively skewed

skewed to right.

THE DISTRIBUTION IS RIGHT SKEWED

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