Question
In: Statistics and Probability
The College Board reported the following mean scores for the three parts of the SAT: Critical...
The College Board reported the following mean scores for the three parts of the SAT:
| Critical Reading | 502 |
| Mathematics | 515 |
| Writing | 494 |
Assume that the population standard deviation on each part of the test is σ = 100.
If required, round your answers to two decimal places.
| (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? |
| (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? |
| (c) | For a random sample of 90 test takers, what is the standard deviation of x for scores on the Writing part of the test? |
Solutions
Expert Solution
Solution :
a) Given that,
mean = 
= 502
standard deviation = 
= 100
n = 30
=
= 502
=
/ 
n = 100 /
30 = 18.26
b) Given that,
mean =
= 515
standard deviation =
= 100
n = 60
=
= 515
=
/
n = 100 /
60 = 12.91
c) Given that,
mean =
= 494
standard deviation =
= 100
n = 90
=
= 494
=
/
n = 100 /
90 = 10.54
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