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3A) Two HS seniors take college admission tests in mathematics. Student 1 takes the SAT and scores a 680. The distribution that year had a

3A) Two HS seniors take college admission tests in mathematics. Student 1 takes the SAT and scores a 680. The distribution that year had a mean of 515 with an SD of 114. Student 2 takes the ACT and scores 27. The distribution that year had a mean of 21 with an SD of 5.1. Assume both tests were normally distributed, and the two tests were each testing the same ability. Who appears to be better in math? Explain your answer.

3B) A brother and sister are both 6 feet tall. The heights for women are normally distributed with a mean of 64 inches and an SD of 2.7. The heights for men are normally distributed with a mean of 69 inches and an SD of 2.8. Discuss whether the siblings are the "same height".

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