It has been found that the scores on the critical Reading portion of the SAT (Sc

Question

It has been found that the scores on the critical Reading portion of the SAT (Scholastic Aptitude Test) exam are normally distributed with mea 501 and standard deviation 112. Use the normal distribution to answer the following questions. (a) What is the estimated percentile for a student who scores 700 on critical Reading? Round your answer to the nearest integer. The estimated percentile for 700 is (b) What is the approximate score for a student who is at the 28^th percentile for Critical Reading? Round your answer to the nearest integer. The 28^th percentile is the score of

Explanation / Answer

Params of Normal distribution have been given as:

Mean = 501
Stdev = 112

a.

P(X=700) = P(Z = 700-501/112) = P(Z=1.78) = .9622

b.

P(X=a) = .28
Z=-.68 from the Z tables
So, z = -.68*112 +501 = 424.84

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