Suppose that college faculty with the rank of professor at two year institutions earn an average of $52,500 per year with a standard deviation of $4,000. in an attempt to verify this salary level, a random sample of 60 professors was selected from a personnel database for all two-year instituations in the united states

c) calculate the probability the sample mean x-bar is greater than $55,000.

d) if you drew a random sample with the mean $55,000 would you consider this sample unusual? what conclusions might you draw?