Question

Problem 6 In some state the mean ACT score in Mathematics is μACT = 19 and the standard deviation is σ ACT = 6, while the mean SAT score in Mathematics is AsAT = 480 and the standard deviation is AT 90. Suppose that the ACT scores and the SAT scores have a normal distribution. Terence gets a score of 17 on the Mathematics portion of the ACT and Philip gets a score of 356 on the Mathematics portion of the SAT. Answer questions (a)-(d) using the Empirical Rule. You should not use R here since the point of this exercise is to practice the Empirical Rule. (a) What proportion of ACT scores are less than 191 (b) What proportion of SAT scores are greater than 300? (c) What proportion of ACT scores are between 7 and 19? (d) What proportion of SAT scores are between 210 and 300? (e) What is the z-score of Terence? (f What is the z-score of Philip? (g) Who did better in Mathematics, Terence or Philip?

Answer 1

ACT ゾ シMacr 19 ACT 0 SAT 2) "The Act Sceves are between and 19ニP( <x</9) e) The 2 Sure ot Terente - 6 0.3323 1、3778 The ete in езеп се