4. Z-scores (12 points)

Using first Table A in your text and then Excel, find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. In each case, sketch a standard Normal density curve, mark the axes and the relevant points and shade the area under the curve that is the answer to the question:

a) Z b) Z > 1.54

c) Z > -0.82

d) -0.82 Z 1.54