Question

The scores on the SAT verbal test in recent years follow approximately the N(539, 111) distribution....

The scores on the SAT verbal test in recent years follow approximately the N(539, 111) distribution. Use technology to answer these questions.

a) If a student placed in the bottom 10% of all students taking the SAT, what was his score below? State answer as a whole number.
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b)How high must a student score to place in the top 10% of all students taking the SAT? State answer as a whole number.

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Answer #1

Solution:

As you said to use technology, I would like to use excel to find SAT score.

Mean = \mu = 539

Standard deviation = \sigma = 111

a)

If a student placed in the bottom 10% of all students taking the SAT, what was his score below?

Excel formula:

=NORMINV(0.1,539,111)

Hence, SAT score = 397

b)

How high must a student score to place in the top 10% of all students taking the SAT?

Excel formula:

=NORMINV(1-0.1,539,111)

Hence, SAT score = 681

Done

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