1- What percentile is equivalent to a z value of z = -3? .................. percentile State your answer to the nearest tenth of a percent.

2- Janai and Roscoe began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Janai took a test in Math and earned a 79.9, and Roscoe took a test in Social Studies and earned a 66.7. Use the fact that all the students' test grades in the Math class had a mean of 71.1 and a standard deviation of 9.8, and all the students' test grades in Social Studies had a mean of 65 and a standard deviation of 8.4 to answer the following questions. a) Calculate the z-score (rounded to two decimal places) for Janai's test grade. z= b) Calculate the z-score (rounded to two decimal places) for Roscoe's test grade. z= c) Which person did relatively better?

• Janai
• Roscoe
• They did equally well.