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Use the information to answer the following six questions. The mean number of friends an user...

Use the information to answer the following six questions. The mean number of friends an user of Facebook has is 338. The distribution of number of friends is not normal and is skewed to the right. The standard deviation is 380 friends. You plan to take a random sample of 81 Facebook users.

A. What type of distribution do the sample means from samples of size n=81 follow?

B. What famous theorem did you use to answer the previous question?

C. Find the probability that the sample mean will be less than 320 friends. Round your answer to three decimal places.

D. Suppose instead that you took a random sample of n= 100 Facebook users.  Find the probability that the sample mean will be less than 320 friends. Round your answer to three decimal places.

E. Suppose instead that you took a random sample of n= 1000 Facebook users. Find the probability that the sample mean will be less than 320 friends. Round your answer to three decimal places.

F. Suppose that your sample size was n=10. Would you be able to calculate the probability that the sample mean is less than 320? Explain.

Math   Statistics-And-Probability   
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