with a mean of 5o0 and (a) (4 pointe) Whet proportion ot (b) (4 pointe) A person

Question

with a mean of 5o0 and (a) (4 pointe) Whet proportion ot (b) (4 pointe) A person la sbout to take t score of 650 or more? (c) (4 points) What portion of scores fall bet-350 Mid 6757 of e that adults have 1Q scores that are normally distributed with a mean of 100 sad Assume that adults have I 9. (12 points) Asvato of 15 (as on the Wechsler test). which is the IQ score separating the bottom 20% from the top 80%. (a) (4 points) Find P2o, top 20%. (b) (4 points) Find Pao, which is the IQ score separating the bottom 80% from the (e) (4 points) Find the IQ score separating the top 15% from the others.

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

8) Mean = 500

Var = 10,000

So, SD = sqrt( Var) = 100

a) z = (200 - 500)/100

z = - 3

P(z < -3) = 0.00135 or 0.13%

b) z = (650 - 500)/100

z = 1.5

P(z > 1.5) = 0.0668 or 6.68%

c) z1 = (350 - 500)/100

z1 = -1.5

z2 = (675 - 500)/100

z2 - 1.75

P(-1.5 < z < 1.75) = 0.8931 or 89.31%

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