16. A distribution of exam scores has a mean of = a. If your score is X = 70, which standard deviation $78. would give you a better grade: = 4 or = 8? b. If your score is X 80, which standard deviation would give you a better grade: = 4 or = 8? 17. For each of the following, identify the exam score that should lead to the better grade. In each case, explain your answer. a. A score of X: = 70, on an exam with M = 82 and = 8; or a score of X = 60 on an exam with = 72 and = 12. b. A score of X = 58, on an exam with u = 49 and = 6; or a score of X = 85 on an exam with = 70 and = = 10. c. A score of X = 32, on an exam with = 24 and 4; or a score of X = 26 on an exam with 20 and = 2. = 18. A distribution with a mean of = 38 and a standard = deviation of 5 is transformed into a standardized distribution with = 50 and = 10. Find the new, standardized score for each of the following values from the original population. a. X = 39 b. X = 43 c. X = 35 d. X = 28 19. A distribution with a mean of = = 76 and a standard deviation of 12 is transformed into a standardized distribution with = 100 and = 20. Find the new, standardized score for each of the following values from the original population. 21. A sample has a mean of M = 30 and a standard deviation of s = 8. Find the z-score for each of the following X values from this sample. X = 32 X = 28 X = 34 X = 20 X = 36 X = 18 22. A sample has a mean of M = 25 and a standard deviation of s 5. For this sample, find the X value corresponding to each of the following z-scores. z = 0.40 z = -0.80 = z = 1.20 z = -0.60 z = 2.00 z = -1.40 23. For a sample with a standard deviation of s = 8, a score of X = 65 corresponds to z = 1.50. What is the sample mean? 24. For a sample with a mean of M = 51, a score of X = 59 corresponds to z = 2.00. What is the sample standard deviation? 25. In a sample distribution, X = 56 corresponds to z=1.00, and X = 47 corresponds to z = -0.50. Find the mean and standard deviation for the sample. 26. A sample consists of the following n = 7 scores: 5, 0, 4, 5, 1, 2, and 4. a. Compute the mean and standard deviation for the sample. b. Find the z-score for each score in the sample. c. Transform the original sample into a new sample = 10. with a mean of M = 50 and s a. X = 61 b. X = 70 c. X = 85 d. X = 94 20. A population consists of the following N = 5 scores: 0, 6, 4, 3, and 12. a. Compute and for the population. b. Find the z-score for each score in the population. c. Transform the original population into a new popu- lation of N = 5 scores with a mean of a standard deviation of = 20. = 100 and