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Solve the following problems. 1. Covent the following scores to z-scores if the mean is 50 and the standard deviation is 10: a. x - 76 b. x = 40 c. X= 50 2. In a multiple choice examination in chemistry, Maria and Juana received scores of 82 and 65. respectively. If these scores are equivalent to z-scores of 1.6 and -0.2, respectively, what are the mean and the standard deviation of the scores of all the students who took the examination? 3. Change the following scores to z-scores using # = 15 and SD = 2: a. 10 b. 15 C. 4. In a certain test in English, the mean score of a group of 200 students was 56 and the standard deviation was 12. In a test in chemistry, the mean was 68 and the standard deviation was 8. If a student scored 65 in English and 75 in chemistry, in which test did she perform better? 5. In an examination in statistics, the mean score was 65 and standard the deviation was 15, Find the z- scores of the students who have the following scores: a. 100 b. 45 6. In physics examination, the mean grade is 80 and the standard deviation is 5. a. Find the corresponding z-scores of two students whose grades are 90 and 60, respectively. b. Find the grades of two students whose z-scores are -0.5 and I.8, respectively