The SAT is a normally distributed exam with a mean of 500 and a standard deviation of 100. If a College only accepts students who score in the top 30%, what is the cut off score? Use the given chart below and the z- score/percentile that is the closest to what you need for your calculations. z-score Percentile z-score percentile .50 69.15 1.00 84.13 .55 70.88 1.05 85.13 .60 72.57 1.10 86.43 .65 74.22 1.15 87.49 .70 75.80 1.20 88.49 .75 77.34 1.25 89.44 .80 78.81 1.30 90.32 .85 80.23 1.35 91.15 .90 81.59 1.40 91.92 .95 82.89 1.45 92.65