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6.1 Exercise 10

Avg difficulty 2.5

In 2012, 1,664,479 students took the SAT exam. The distribution of scores in the verbal section of the SAT had a mean µ = 496 and a standard deviation σ = 114. Let X = a SAT exam verbal section score in 2012. Then, X ~ N(496, 114).

Find the z-scores for x1 = 325 and x2 = 366.21. Interpret each z-score. What can you say about x1 = 325 and x2 = 366.21, as they compare to their respective means and standard deviations?

OpenStax Statistics, 6.1 The Standard Normal Distribution, exercise 10

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