Lemma
EasyNormal distribution
OpenStax, Introductory Statistics 2e §6.1 The Standard Normal Distribution · Try It 4 · Statistics · Normal distribution

The Standard Normal Distribution · Try It 4

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 x_1 = 325 and x_2 = 366.21. Interpret each z-score. What can you say about x_1 = 325 and x_2 = 366.21 as they compare to their respective means and standard deviations?

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OpenStax, Introductory Statistics 2e · §6.1 The Standard Normal Distribution · Try It 4

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