posted by Michael on .
Re-worded 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 z-score of .35 and a raw score of 595?"
Z = (score-mean)/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.