A survey of college students was conducted during final exam week to assess the number of cups of coffee consumed each day. The mean number of cups was 3.5 with a standard deviation of 0.5 cups. The distribution was normal. Make sure you do NOT round when answering any of these questions and that you use your Jackson e-book for exact values. When applicable, show ALL work for full points.

If Nancy had 3 cups of coffee, what is her z score?

What proportion of students drank FEWER cups of coffee than Nancy? (do not round)

What percent of students drank MORE cups of coffee than Nancy? (do not round)