2. What are the two mathematical facts that describe how sampling distributions work? 4. What effect does sample size have on the shape of a sampling distribution? 6. For a population with a mean of 75 and a standard deviation of 12, what proportion of sample means of size n = 16 fall above 82? 7. For a population with a mean of 100 and standard deviation of 16, what is the probability that a random sample of size 4 will have a mean between 110 and 130? 8. Find the zscore for the following means taken from a population with mean 10 and standard deviation 2: a. M = 8, n = 12 b. M = 8, n = 30 c. M = 20, n = 4 d. M = 20, n = 16 10. For a population with a mean of 35 and standard deviation of 7, find the sample mean of size n=20 that cuts off the top 5% of the sampling distribution