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Provide an approj riate response 6) Assume that adults have 1Q scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as o (somew the Wechsler test). Find the probability that a randomly selected adult has an IQ between 90 and 120 sere in the range of normal to bright normal). Draw a picture. Use Table A-2 or calculator 9 1O0 130 -7) (Same i ro from #6) Find the IQ score separating the top 16% from the others. Draw a picture. Use Table A-2 or calcu ator
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6)

Solution:Since μ-100 and σ 15 we have: P(90 < x-く120 )-P(90 _ 100 < X-μく120-100 ) =r(90-100 < 120 100 15 --μ , 15 100 Since Z 0.67 and 120 100 1.33 we have I 22, 一, , 15 P(90 < X < 120 ) P (-0.67 < Z <1.33 ) Step 3: Use the standard normal table to conclude that: P(-0.67<Z<1.33) 0.6568

7) Solution:

Given area 0.16
A = 1-0.16 = 0.84
Z0.84 = -0.99
X = μ + zσ
= 100 + (-0.99)(15)
= 85.15

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