SOLUTION: Almost all primary school students who intend to go to high school take the IQ test. In 2020, the mean IQ test of all students was 1020. Sabri is planning to take the test soon. Su

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Question 1174093: Almost all primary school students who intend to go to high school take the IQ test. In 2020, the mean IQ test of all students was 1020. Sabri is planning to take the test soon. Suppose the IQ score of all students who take this test with Sabri will have a normal distribution with a mean of 1020 and standard deviation of 153. What should his score be on this test so that only 10% of all examinees score higher than he does?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Normal Distribution:  μ = 1020  and   σ = 153 

What should his score be on this test so that only 10% of 

all examinees score higher than he does?  z = -1.282 (represent 10%)



z+=blue+%28x+-+mu%29%2Fblue%28sigma%29

-1.282+=blue+%28x+-+1020%29%2Fblue%28153%29  Solve for x



  153(1.282) + 1020 = x = 1216 (rounded to nearest whole number)

   

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