A college requires applicants to have an ACT score in the top 10% of all test scores. The ACT scores are normally distributed, with a mean of 19 and a standard deviation of 3.7.
a. Find the lowest test score that a student could get and still meet the college's requirements. Test scores are reported as whole numbers.
b. How does the result change if the college decides to accept the top 15% of all test scores?