3) You know that the number of hours spent studying each week for MPA and EMPA students are normally distributed with a mean of 8.2 for MPA students and 3.4 for EMPA students. The standard deviations are 2.4 hours for MPA students and 1.75 hours for EMPA students. Cherlyn, an MPA student, studies 11.3 hours each week and Chad, an EMPA student studies 5.8 hours each week.

a) Draw a picture of each distribution (including +/- 3 standard deviations from the mean and mark the hours spent by Chad and Cherlyn respectively).

b) Calculate a z-score for Cherlyn. Round your answer to 2 decimal places.

c) Calculate a z-score for Chad. Round your answer to 2 decimal places

d) Does Cherlyn or Chad spend more hours studying in comparison to their respective classmates? Write your answer in a complete sentence.