1. Under what circumstances are scores that are 12 raw score points from the mean considered extreme scores (hint, you do not need to know the mean in order to answer this question)? 2. If data with mew=40 and sigma=2.22 is transformed into z scores, then the distribution of z scores will have a mean of ______________ and a standard deviation of ___________________. 3. I take a raw data set with a mean of 7 and a SD of 2 that is skewed to the right, and transform all the scores into Z scores. What are the mean and the SD in the transformed data set? Is the transformed data distribution shaped the same or differently from the original data distribution that is, is it still skewed? 4. For a population with = 50 and = 12, find the z-score corresponding to each of the following X values: 65, 54, 44, 35 5. For a population with = 50 and = 12, find the X value that corresponds to each of the following z-scores: -0.22, -1.8, 0.30, 2.15 As you do the next problems it will probably be helpful for you to have your book open to the Z table in the back of the text. 6. On a psychology exam with = 80 and = 10, Dave scored 4 raw points below the mean, Tamara had a score of X = 80, and Lee had a z-score of z = -1.00. Place these three students in order from lowest to highest score. 7. If you cut the standard normal distribution into two pieces at t z= -.50, what exact percent of the distribution is in the smaller section? 8. A normal distribution has a mew of 75 and a sigma of 2. If one score is randomly selected from that distribution, what is the probability it will be greater than X =77? (hint: convert X to Z first) 9. A normal distribution has mew =100 with sigma =20 If one score is randomly selected from this distribution, what is the probability that it will be between X=90 and X=110? 10. Solve for X using Z (hint: there is a formula for that in your slides!). A normal distribution has mew =20 and sigma =3. What is the minimum raw score X needed to be in the top 2.5% of the distribution? (hint: find the Z score that corresponds to the proportion in the tail = to 2.5). 11. What proportion of a normal distribution is located in the tail beyond z = 1.7? 12. What proportion of a normal distribution is located between the mean and z = -1.30? 13. What proportion of a normal distribution is located between the mean and z = .50? 14. The normal distribution is divided into two pieces at z = 0.80. What proportion of the distribution is on the right-hand side of the line