8. a. Given a normal distribution with a mean of 100 and a standard deviation of 20. If you repeatedly draw a random sample of 10000, what is the approximate mean of that sample distribution and what is the standard deviation?

b. A population parameter has a mean of 0 and a standard deviation of 10. You then standardize the parameter. What are the mean and standard deviation of the sampling distribution for a sample of 100 observations?