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o: Chapter 6 End-of-Chapter Problems Due on Jun 17 at 11:59 PM MDT 11. Gravetter

ID: 3367025 • Letter: O

Question

o: Chapter 6 End-of-Chapter Problems Due on Jun 17 at 11:59 PM MDT 11. Gravetter/Wallnau/Forzano, Essentials-Chapter 6-End-of-chapter question 17 Aa Aa 1Q test scores are standardized to produce a normal distribution with a mean of u 100 and a standard deviation of ?-15. Find the proportion of the population in each of the following IQ categories. Normal Distribution Standard Deviation20 50005000 4O 50 60 70 80 90 100 110 120 130 140 iso 90.0000 Genius or near genlus: IQ over 140 Very superior intelligence: IQ from 120 to 140 Average or normal intelligence: 1Q from 90 to 109 MacBook Pro esc G Search or type URL

Explanation / Answer

Mean = 90

S.D = 20

P(X>140)

Z = (X - ?) / ?
Z = (140 - 90) / 20

Z = 2.5

P(Z > 2.5 ) = 0.0062

Z = (X - ?) / ?
Z = (90 - 20) / 140

Z = 0.5

P(120<x<140)

P(120-90/20 <x < 140-90/20) = 0.0606

P(90<x<109)

P(90-90/20 < Z< 109-90/20) = P(0 < Z < 0.95) = 0.3289?