Question

Suppose that I scores have a bell-shaped distribution with a mean of 105 and a standard deviation of 17. Using the empirical rule, what percentage of IQ scores are between 71 and 139? Answer/How to Enter) 1 Point Tables Keypad Keyboard Shortcuts < > in NEA Prev

Answer 1

Solution - M-105 o=17 + Down V j scores M-30 1-20 ta at Mto M420 4x30 4 t 54 71 89 105 122 139 156 -3 -2 2 3 Z-score > · 681 Emponical rull > 95") 99,7 using the empirical sue we can say that Ilus 2 Standard deviation below u and 139 is a standard deviation above u

Thus gs.u4 095% of Io scores between 71 and_139 according to empirical rule Poobability that Io score lies between Fland 139 - Pl 71-105 17 Pl <<< 139–105 17 PL 7K< x <139) -PL-2 <2<2) 2 Plo<2<2) 2x004772 =.9544 Now, by imperical rule about 95.44% 2295% of data lies lies between 2 Stand deviction from meas.