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15. A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and x bar is used to estimate population mean (mu).

a. What is the probability that the sample mean will be within (-5,+5) of the population mean?

16. Assume the population standard deviation is 25. Compute the standard error of the mean, for sample sizes of 50, 100. What can you say about the size of the standard error of the mean as the sample size is increased?