A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1000 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 19.5 and a standard deviation of 5. It is assumed that the two tests measure the same aptitude, but use different scales. Requried:
a. What would be the equivalent ACT score for this student?
b. If a student gets an SAT score that is the 70-percentile, find the actual SAT score.