Suppose we have 100 independent draws from some population distribution whose shape is unknown but where the population mean is 10 and SD is 2.5. Suppose that n=100 is sufficiently large that for the sample mean to have an approximately normal distribution. (a) What is the chance that the sample mean is within 0.1 units of the population mean? (b) What is the chance that the sample mean exceeds the population mean by at least 0.25 units?
