9. In a population of N=8, the following test scores (X) were measured: 90, 76, 82, 94, 69, 100, 81, 88. a. What is the population's mean? (4 points) b. Calculate the deviation for each score. (3 points) c. What is the sum of the deviations? What is the mean of the deviations? Explain the result. (3 points) d. What is the sum of squares (SS) for the population? (3 points) e. What is the population's variance? What is the population's standard deviation? (3 points) f. Let's assume that the same set of scores represented a sample rather than a population. What effect would this have on your results from questions (a)-(e)? Explain which results would remain the same and which would change. For those that would change, calculate the new result. (5 points) g. All the scores in the set were transformed (changed) so that 3 points were subtracted from each score. How would this affect the mean? How would this affect the standard deviation? Explain why or demonstrate the effect using the set of scores from the question (or a smaller set of scores of your own). (4 points) h. All the scores in the set were transformed so that each was divided by 3. How would this affect the mean? How would this affect the standard deviation? Explain why or demonstrate the effect using the set of scores from the question (or a smaller set of scores of your own). (4 points)