Suppose that the average monthly pay for U. S. production worker is 2000$.Assume that available date indicate that production worker wages normally distributed with a standard deviation of 400$ .Suppose that a simple random sample of sides n=64 workers is selected and the sample mean weekly pay x is used to estimate the population mean weekly pay.
a)show the sampling distribution of x (indicate the mean , standard deviation and the shape -draw the picture)
b)what is the probability that the sample mean monthly pay will be between +-75$ of the population mean?