SOLUTION: 9. Albert made a score of 656 on the CEEB examination with a mean of 500 and the SD of 100. Assume the variable is normally distributed, determine the following: a. What percent o

Question 1120856: 9. Albert made a score of 656 on the CEEB examination with a mean of 500 and the SD of 100. Assume the variable is normally distributed, determine the following:
a. What percent of cases would fall between his score and the mean of the exam.
b. What is his percentile rank in the population of students taking the exam?
c. What percent of cases would fall between scores 425 and 625?
d. What is the score corresponding to 85th percentile on this exam?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
a. z=(656-500)/100=+1.56
There is 0.0594 to the right and 0.4406 to the left to the mean.
44.06%
b. He is at the 94th percentile, adding the 50% below the mean.
c. between 425 and 625 is between a z of -0.75 and +1.25 or 0.6677 or 66.77%
d. the 85th percentile is at z=+1.036, use 1.04
1.04=(x-mean)/100
so 104=x-mean
x=604

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