4 (14 points) Chapter 6 1. (3 points) Use these fictional scores: 33, 55, 54, 65, 44, 65, 44, 66. a. (1) Assume that the population from which this sample was drawn has the same standard deviation as these raw scores. Calculate the standard error. b. (2) Explain why the standard error and standard deviation are different. i. (1) Why do these two measures differ from one another? ii. (1) Compare/contrast the distributions that each measure of variability is describing. 2. (4 points) Use these fictional scores: 67, 33, 40, 54, 65, 44, 75, 50. Calculate the mean and standard deviation (you can do this by hand or use an online analysis tool or Excel). Calculate the z score for a raw score of 65. What is the approximate percentile for a raw score of 65? Assume that the population from which this sample was drawn has the same standard deviation as these raw scores. a. (1) Mean b. (1) SD c. (1) z-score d. (1) Percentile 3. (3 points) A local college reported that the average SAT score of its students is 1100 with a standard deviation of 45. Dr. Smith drew a random sample of 100 students