The verbal part of the (GRE) has a m = 500 and s = 100. Could you please answer
ID: 3269186 • Letter: T
Question
The verbal part of the (GRE) has a m = 500 and s = 100. Could you please answer the following questions for me. i do not understand what they are asking. Thank you!
9c)
If you wanted to select only students at or above the 87th percentile, what GRE score would you use as a cutoff score (i.e. what GRE score corresponds to this percentile)?
Answer
Work (required):
9d)
What is the z score for a GRE score of 321?
Answer
Work (required):
9c)
If you wanted to select only students at or above the 87th percentile, what GRE score would you use as a cutoff score (i.e. what GRE score corresponds to this percentile)?
Answer
Work (required):
9d)
What is the z score for a GRE score of 321?
Answer
Work (required):
Explanation / Answer
Solution:
9c)
P ( Z > x ) = 0.87
Value of z to the cumulative probability of 0.87 from normal table is -1.13
P( x-u/ (s.d) > x - 500/100) = 0.87
That is, ( x - 500/100) = -1.13
x = -1.13 * 100+500 = 387.4
9d)
Normal Distribution
Mean (u) =500
Standard Deviation (sd)=100
Normal Distribution = Z= X- u / sd ~ N(0,1)
Z = (X - ) /
P(X < 321) = (321-500)/100
= -179/100= -1.79
The z score will be = -1.79
= P ( Z <-1.79) From Standard Normal Table
= 0.0367
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