z-score and Normal Distribution Exercise (30 pts.) 1. (4 pts.) For a population with = 60 and = 12, find the z-score corresponding to each of the following X values: 66: 78: 57: 48: 2. (3 pts.) For a population with = 48 and = 8, find the X value that corresponds to each of the following z-scores: A. 0.50 B. 2.00 Nos. 3-11 are worth 2 pts. each: 3. For a population with = 70 and = 8, what is the z-score corresponding to X = 82? 4. For a population with = 80 and = 6, what is the z-score corresponding to X = 68? 5. For a population with = 40 and = 8, what is the z-score corresponding to X = 34? 6. For a population with = 100 and = 20, what is the X value corresponding to z = -0.75? 7. For a population with = 80 and = 10, what is the X value corresponding to z = -2.00? 8. A population of scores has = 44. In this population, a score of X = 40 corresponds to z = -0.50. What is the population standard deviation? 9. In a population with = 8, a score of X = 44 corresponds to a z-score of z = -0.50. What is the population mean? 10. In a population with a standard deviation of = 5, a score of X = 44 corresponds to a z-score of z = 2.00. What is the population mean? 11. If a population with = 72 and = 8, the distribution of z-scores, aka the Standardized Distribution, will have a mean= _____ and standard deviation = ______ 12. (5 pts.) Mary had exams in Statistics and Intro to Social Welfare. On the Statistics exam, = 30 and = 5. Mary's score was X=45. On the Intro to Social Welfare exam, = 60 and = 8, and Mary scored X=68. In which class did Mary get a better grade