In: Math
Q. 1. Suppose a population was normally distributed with a mean of 10 and a standard deviation of 2. What proportion of the scores is below 12.5?
Q.2. Let’s say that the average IQ of a group of people is 105 with a standard deviation of 15. What is the standardized (or z- score) of someone:
(a) with an IQ of 93?
(b) with an IQ of 135?
No handwriting please, or make it clear
thanks
q1)
z=x-u/s
p(x<12.5)=p(z<12.5-10/2)
=p(z<1.25) from z table
=0.8944
Q2)
WE KNOW THAT
a) with an IQ 93
Z=93-105/15
=-0.8
b) with an IQ 135
Z=135-105/15
=2