The College Board reported the following mean scores for the three parts of the

ID: 3275604 • Letter: T

Question

The College Board reported the following mean scores for the three parts of the SAT:

Critical Reading: 502
Mathematics: 515
Writing: 494

Assume that they population standard deviation on each part of the test is = 100.
If required, round your answers to two decimal places.

b) For a random sample of 60 test takers, what is the standard deviation of x for scores on the Mathematics part of the test?

a) For a random sample of 30 test takers, what is the standard deviation of x for scores on the Critical Reading part of the test?

SolutionA:

Std dev for n=30 is

e standard deviation of x for scores on the Critical Reading part of the test

=sd/sqrt(n)

=100/sqrt(30)

=18.26

Solutionb:

n=60

standard deviation of x for scores on the Mathematics part of the test

=100/sqrt(60)

=12.91

SolutionC:

n=90

standard deviation of x for scores on the Writing part of the tes

=100/sqrt(90)

=10.54

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