For a population with a standard deviation of σ = 20, find the z-score for each of the following locations in the distribution. (HINT: Take a look at the equation for finding z- scores and figure out what information you have been given in the question and in the following “locations” in the distribution. You do NOT need the actual population mean to answer these questions. Remember: gather info, choose equation, sketch, plug in, solve.
a) above the mean by 5 points
b) below the mean by 10 points