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A psychologist decided to collect data on a larger sample of college students

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A psychologist decided to collect data on a larger sample of college students. This time, he collected data from 100 college students. The psychologist determined that the scores within each group were approximately normally distributed.For GPA, the larger dataset (N = 100) had a mean of 3.10, and a SD of 0.22.For SAT, this same larger dataset (N = 100) had a mean of 1150, and a SD of 70.The psychologist wanted to figure out where particular students fell on each of these measures, relative to the other measure. One student, Samantha, received an SAT score of 1250 and had a college GPA of 3.60. Which of these scores (SAT or GPA) would be considered the higher score, relative to the rest of the 100-student sample? Show the work leading to the answer.

b. Assuming the data are normally distributed, what percentage of college students report a

lower GPA than Samantha? Show the work, including a sketch of the normal curve with

appropriate area shaded in.

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