What percentage of test scores will be greater than 1269

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The average and standard deviation for SAT scores is 1059 and 210, respectively. The average and standard deviation for ACT scores is 21 and 5.4, respectively. Answer the following questions:

(a) Assuming nothing about the distribution of SAT scores, at least what percentage of test scores will be between 639 and 1479?

(b) Assuming the distribution of SAT scores is normal, approximately what percentage of test scores will be between 849 and 1269?

(c) Assuming the distribution of SAT scores is normal, approximately what percentage of test scores will be less than 849 and greater than 1269?

(d) Assuming the distribution of SAT scores is normal, approximately what percentage of test scores will be greater than 1269?

(e) Sam took both the SATs and the ACTs. Sam earned a 1130 on the SATs and a 25 on the ACTs. Which test did Sam do better on?

Reference no: EM132386882

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