Alejandra is applying for college and has taken both the SAT and the ACT. She only wants to submit her best score, but doesn't know which one to submit. She scored 1280 on the SAT and 27 on the ACT. Which score should Alejandra submit?

1. In 2017, the distribution of SAT scores had a mean of 1060 and a standard deviation of 195. Calculate and interpret the z-score for Alejandra's SAT score.
2. In 2017, the distribution of ACT scores had a mean of 20.8 and a standard deviation of 5.6. Calculate and interpret the z-score for Alejandra's ACT score.
3. Based on your answers to parts a and b, which score is better? Explain your reasoning.