As reported in table 5.1, the mean SAT Evidence-Based Reading and Writing (ERW) score was 536 with a standard deviation of 102 in 2018. (a) Assume that hours worked are approximately normally distributed in the sample. What is the probability that someone in the sample will work 60 hours or more in a week? How many people in the sample should have worked 60 hours or more?
(b) What is the probability that someone will work 30 hours or fewer in a week (i. e., work part-time)? How many people does this represent in the sample?
(c) What number of hours worked per week corresponds to the 60th percent?