Most colleges require students to supply scores fromeither the ACT or SAT test for admission purposes. Research
Question:
Most colleges require students to supply scores fromeither the ACT or SAT test for admission purposes. Research hasshown that scores on these tests follow normal distributions.Suppose the mean ACT composite score in 2018 was 20.6 with astandard deviation of 6.2. Assume scores on the ACT test arenormally distributed.
Answer using the Normal calculator. Report probabilitiesas decimal numbers rounded as directed. Report ACT scores roundedas directed.
a. The lowest 15% of ACT test takers in 2018 had scores at or belowwhat point? Round to the nearest tenth.
b. Suppose an exclusive college wants to only admit students whohad composite ACT scores in the top 8% of all ACT scores. Whatcutoff score would this college use based on the 2018 distributionof ACT scores? Round to the nearest tenth.
c. The Empirical Rule states 95% of all composite ACT scores fortest takers in 2018 will fall how many standard deviations oneither side of the mean composite score of 20.6?
Essentials of Business Analytics
ISBN: 978-1285187273
1st edition
Authors: Jeffrey Camm, James Cochran, Michael Fry, Jeffrey Ohlmann, David Anderson, Dennis Sweeney, Thomas Williams