Mathematics, 05.05.2021 17:10 brebee24

A certain psychological test measures empathy and emotional intelligence. The scores for both senior and first-year students at a large university follow an approximately Normal distribution. The mean and standard deviation of the difference D = S – F in scores for a randomly selected pair of senior and first-year students are μD = 19 and σD = 44.6878.

Use the z-table to answer the question.

What is the probability that the first-year student shows a higher emotional intelligence test score in a randomly selected senior/first-year pair?
0.1976
0.3354
0.6646
0.8024

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