AP Statistics Practice: Chapter 2 There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores in recent years has been roughly Normal with mean [1 = 20.9 and 0' = 4.8. SAT scores are reported on a scale from 400 to 1600. The distribution of SAT scores in recent years was roughly Normal with mean ,u = 1060 and 0' = 195. a. Tim scores an 1180 on the SAT. Assuming that both tests measure the same thing, what score on the ACT is equivalent to Tim's score? b. Lyla scores a 28 on the ACT. Assuming that both tests measure the same thing, what score on the SAT is equivalent to Lyla's score? c. Reports on a student's ACT or SAT usually give the percentile as well as the actual score. Julie scores a 1320 on the SAT. What is her percentile? d. What percentage of students score above a 30 on the ACT? Scores on the Wechsler Adult Intelligence Scale for the 20 to 34 age group are approximately Normally distributed with mean 1 10 and standard deviation 25. a. At what percentile is an IQ score of 150? b. What percent of people aged 20 to 34 have le between 125 and 150? c. MENSA is an elite organization that admits as members people who score in the top 2% on IQ tests. What score on the Wechsler Adult Intelligence Scale would an individual aged 20 to 34 have to earn to qualify for a MENSA scholarship