CRJ303Statistics question
posted by Michael on .
Reworded from the "Study Questions" part of Chapter 5 from this site: "Student Study Site for Essentials of Social Statistics for a Diverse Society"
Please show the steps for each question
"When the Scholastic Aptitude Test (SAT)  now known as the Scholastic Assessment Test  was first developed, the idea was that each section of the test would have a mean of 500 and a standard deviation of 100. While the SAT is continually adjusted and readjusted to promote such a distribution, let's assume for this exercise that math scores on the SAT have a mean of 500 and a standard deviation of 100.
1. What percentage of students scored below/above 465?
2. What percentage of students who took the SAT scored between a 465 and 500?
3. What percentage of students scored above 595 on the math portion of the SAT?
4. What is the percentile does a score of 465 correspond to?
5. What percentage of students who took the SAT posted scores between a zscore of .35 and a raw score of 595?"

Z = (scoremean)/SD
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions/probabilities related to the Z scores.