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# 1) The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT):

1) The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT):
Critical Reading 510 Mathematics 500 Writing 490
Assume that the population standard deviation on each part of the test is σ = 90.
a) What is the probability a random sample of 100 test takers will provide a sample mean
test score within 10 points of the population mean of 510 on the Critical Reading part of
the test?
b) What is the probability a random sample of 81 test takers will provide a sample mean test
score within 15 points of the population mean of 500 on the Mathematics part of the test?
c) What is the probability a random sample of 121 test takers will provide a sample mean
test score within 12 points of the population mean of 490 on the writing part of the test?

2) The average price of a gallon of unleaded regular gasoline was reported to be \$3.90 in southwest Florida. Use this price as the population mean, and assume the population standard deviation is \$.20.
a) What is the probability that the mean price for a sample of 36 service stations is within
\$.05 of the population mean?
b) What is the probability that the mean price for a sample of 64 service stations is within
\$.05 of the population mean?
c) What is the probability that the mean price for a sample of 100 service stations is within
\$.05 of the population mean?

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1) The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT):
Critical Reading 510 Mathematics 500 Writing 490
Assume that the population...

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