SOLUTION: Assume that adults have IQ scores that are normally distributed with a mean of 105 and standard deviation 15. Find P9 which is the IQ score separating the bottom 9% from the top 91

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that adults have IQ scores that are normally distributed with a mean of 105 and standard deviation 15. Find P9 which is the IQ score separating the bottom 9% from the top 91      Log On


   



Question 795605: Assume that adults have IQ scores that are normally distributed with a mean of 105 and standard deviation 15. Find P9 which is the IQ score separating the bottom 9% from the top 91%.
Any help would be greatly appriciated
Thanks, Cass

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that adults have IQ scores that are normally distributed with a mean of 105 and standard deviation 15. Find P9 which is the IQ score separating the bottom 9% from the top 91%.
-------
Find the z-value with a left tail of 9%.
invNorm(0.09) = -1.3408
----
Find the corresponding "x" value::
x = z*s +u
x = -1.3408*15+105 = 84.89
----------------
Cheers,
Stan H.
=============