The normal curve, standardization, and z scores 1. What is difference between a raw score and a z score? 2. What is the scientific notation for the following? a. Raw score: ___ b. # of observations: ___ c. Population mean: ___ d. Population SD: ___ 3. The mean SAT score for the population of freshman at your university is 1200, with a SD of 30. If you scored a 1350, what is your z score? 4. The class average on the last exam was an 87, with a standard deviation of 3. If your z score is 1.88, what is your raw score? a. Using the z distribution from class, what percentile do you fall into? 5. Assume a normal distribution when answering the following questions. What percentage of scores falls below the mean? What percentage of scores falls between 1 standard deviation below the mean and 2 standard deviations above the mean? What percentage of scores lies beyond 2 standard deviations away from the mean (on both sides)? What percentage of scores is between the mean and 2 standard deviations above the mean? What percentage of scores falls under the normal curve? 6. According to the Central Limit Theorem, even if the population distribution isn't normal, what is true about the shape of the sampling distribution? 7. The standard deviation of a population is 4.75. We have a sample of 38 people. What is the standard error