SOLUTION: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation of 20. Find P(sub/small)14, which is the IQ score separating the bottom

Question 445434: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation of 20. Find P(sub/small)14, which is the IQ score separating the bottom 14% from the top 86%.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

IQ scores that are normally distributed with a  of 105 and a of 20

Find 

  *Note: 

 lower 14% then z = -1.0803  NORMSINV(0.14)          

 -1.0803 = (x - 105)/20

 105 - 20*1.0803 = 83.394

 top 86% then z = 1.0803     NORMSINV(0.86)

   105 + .20*1.0803 = 126.606



     126.6 - 83.4 = 43 IQ points separating the bottom 14% from the top 86%.

 

RELATED QUESTIONS

assume that adults have IQ scores that are normally distributed with a mean of 105 and a... (answered by ewatrrr)
Assume that adults have IQ scores that are normally distributed with a mean of 
105... (answered by Boreal)
Assume that adults have IQ scores that are normally distributed with a mean of 
105... (answered by Boreal)
Assume that adults have IQ scores that are normally distributed with a mean of 105 and a... (answered by ewatrrr)
Assume that adults have IQ scores that are normally distributed with a mean of 
100
100  (answered by richwmiller)
Assume that adults have IQ scores that are normally distributed with a mean of 100100 and  (answered by Boreal)
SORRY ABOUT THE CAPS, NOT YELLING JUST CAN'T FIND MY GLASSES TO SEE THE FONT. COULD YOU... (answered by reviewermath)
assume that adults have iq scores that are normally with a mean of 105 and a standard... (answered by stanbon)
Assume that adults have IQ scores that are normally distributed with a mean of 102.6 and... (answered by VFBundy,dkppathak)