According to the college board, scores by women on the SAT-Itest were normally distributed with a mean of 998 and standarddeviation of 202. Score by women on the ACT test are normallydistributed with a mean of 20.9 and a standard deviation of 4.6.Assume that the two tests use different scales to measure the sameaptitude
a) If a woman gets an SAT-I score in the 67thh percentile, findher actual SAT-I score and her equivalent ACT score
b) If a woman gets an SAT score of 1220, find her equivalent ACTscore
