A perfect score on the SAT is 1600/1600. To qualify for a scholarship a student needs to score in the top 15% of the SAT scores. Last year the mean score for the SAT was 1055/1600 and the standard deviation was 186. What was the minimum SAT score required to earn a scholarship? Step 1: Sketch a curve to represent this scenario x = ? 2.1% 13.6% X 0.13% 497 683 869 1055 1241 1427 1631 The yellow shaded area represents the top % of participants. Step 2: Find the corresponding z-score ** All areas given in the z-score table are the areas to the LEFT of the z-score** 100% - 15% = %, written as a decimal = When you scan the z-score table for the area, the closest match to this decimal corresponds to the z-score = Step 3: Use the z-score formula to find x The values we know are: O = z = Substitute these values into the Z-score formula then isolate x. X = The minimum score on the SAT to earn a scholarship last year was /1600. (round the test score to the nearest

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