Be sure to show all your work where appropriate.

The scores on a nationwide reading and comprehension aptitude exam are normally distributed, with= 80 and= 12. Use this information to answer the questions below.

1. What is thez-score for a raw score of 71? Using thezdistribution table, what value is associated with this particular score and how do youinterpretthat AUC value?5 points
2. What percentage of scores fall between a raw score of 64 and 90?Round final answer to nearest hundredth decimal place.5 points
3. Robert has a score of 84. What is the percentile rank of Robert's score? (Round percentile to nearest whole number). What does Robert's percentile rank mean (interpret the statistic)?5 points
4. Sasha has a score of 66. What is the percentile rank of Sasha's score? (Round percentile to nearest whole number). What does Sahsa's percentile rank mean (interpret the statistic)?5 points

BONUS:

Taylor's score has a z-score of 2.18. Given this information, can you calculate Taylor's raw score?2 points