Homework6: Problem 9 PreviousProblem List Next (1 point) Scores on a certain int

Question

Homework6: Problem 9 PreviousProblem List Next (1 point) Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with = 1 17 and = 24. (a) What proportion of children aged 13 to 15 years old have scores on this test above 107 Answer b) Enter the score which marks the lowest 20 percent of the distribution. Answer (c) Enter the score which marks the highest 10 percent of the distribution. Answer Note: You can earn partial credit on this problem Preview My Answers Submit Answens You have attempted this problem 0 times. You have 3 attempts remaining

Explanation / Answer

Ans:

Given that

mean=117

standard deviation=24

a)P(X>107)

z=(107-117)/24=-10/24=-0.417

P(z>-0.417)=1-P(z<=-0.417)=1-0.3385=0.6615

b)P(Z<=z)=0.2

z=-0.8416

x=117-0.8416*24

x=117-20.1984

x=96.8016

x=96.80

c)P(Z>=z)=0.1

P(Z<=z)=1-0.1=0.9

z=1.282

x=117+1.282*24

x=117+30.768

x=147.768

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