Problema Solution
Which score has the better relative position: a score of 49 on a test for which the mean is 41 and the standard deviation is 8, a score of 5.8 on a test for which the mean is 5 and the standard deviation is 0.7, or a score of 491.6 on a test for which the mean is 467 and the standard deviation is 41?
Answer provided by our tutors
(1)Z-score = (49-41)/8 = 1.00
(2)Z-score = (5.8-5)/0.7 = 1.14
(3)Z-score = (491.6-467)/41 = 0.60
Z=1.14 is largest, so a score of 5.8 on a test for which the mean is 5 and the standard deviation is 0.7 the better relative position than other two