Question
In: Statistics and Probability
In May 2018, The College Board reported the following mean scores for two parts of the...
In May 2018, The College Board reported the following mean scores for two parts of the Scholastic Aptitude Test (SAT):
Evidenced-Based Reading and Writing 533
Mathematics 527
Assume the population standard deviation on each part of the test is σ = 100.
a. What is the probability a sample of 90 test-takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-Based Reading and Writing part of the test?
b. What is the probability a sample of 90 test-takers will provide a sample mean test score within 10points of the population mean of 527 on the Mathematics part of the test?
c. Comment on the differences between the values computed in parts (a) and (b)?
Solutions
orchestra answered 2 years agoRelated Solutions
The College Board reported the following mean scores for the three parts of the SAT (The...
The College Board reported the following mean scores for the
three parts of the SAT (The World Almanac, 2009):
Critical
reading
502
Mathematics
515
Writing
494
Assume that the population standard deviation on each part of
the test is 100.
What is the probability that a random sample of 90 test takers
will provide a sample mean test score within 10 points of the
population mean of 502 on the Critical reading part of the
test?
What...
The College Board reported the following mean scores for the three parts of the Scholastic Aptitude...
The College Board reported the following mean scores for the
three parts of the Scholastic Aptitude Test (SAT).†
Critical Reading
502
Mathematics
515
Writing
494
Assume that the population standard deviation on each part of
the test is
σ = 100.
(Round your answers to four decimal places.)
(a)
What is the probability a sample of 85 test takers will provide
a sample mean test score within 10 points of the population mean of
502 on the Critical Reading part...
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...
eBook The College Board reported the following mean scores for the three parts of the Scholastic...
eBook The College Board reported the following mean scores for
the three parts of the Scholastic Aptitude Test (SAT) (The World
Almanac, 2009): Critical Reading 502 Mathematics 515 Writing 494
Assume that the population standard deviation on each part of the
test is = 100. Use z-table.
The College Board American College Testing Program reported a population mean SAT score of 1020, with...
The College Board American College Testing Program reported a
population mean SAT score of 1020, with a standard deviation of
100. a. Let’s say a local school wants to estimate their senior
class average SAT score at 90% confidence within 10 points, how
many student scores should they sample? 1 pt. b. Let’s say that
they sample 49 scores. What is the probability that this school’s
would get a sample average of 1015 or worse, if they actually have
a...
According to the College Board, scores on the math section of the SAT Reasoning college entrance...
According to the College Board, scores on the math section of
the SAT Reasoning college entrance test in a recent year had a mean
of 511 and a standard deviation of 119. Assume that they are
roughly normal.
(a) What was the interval spanned by the middle 95% of SAT
scores?
(b) How high must a student score to be in the top 16% of SAT
scores?
According to the College Board, scores on the math section of the SAT Reasoning college entrance...
According to the College Board, scores on the math section of
the SAT Reasoning college entrance test for the class of 2010 had a
mean of 516 and a standard deviation of 116. Assume that they are
roughly normal. A) What was the interval spanned by the middle 68
percent of scores? B) How high must a student score to be in the
top 2.5 percent of scores? What are the quartiles of scores
from the math section of the...
The College Board finds that the distribution of students' SAT scores depends on the level of...
The College Board finds that the distribution of students' SAT
scores depends on the level of education their parents have.
Children of parents who did not finish high school have SAT math
scores X with mean 446 and standard deviation 103. Scores Y of
children of parents with graduate degrees have mean 555 and
standard deviation 107. Perhaps we should standardize to a common
scale for equity. Find numbers a, b, c, and d such that a + bX and...
The College Board finds that the distribution of students' SAT scores depends on the level of...
The College Board finds that the distribution of students' SAT
scores depends on the level of education their parents have.
Children of parents who did not finish high school have SAT math
scores X with mean 448 and standard deviation 106. Scores Y of
children of parents with graduate degrees have mean 562 and
standard deviation 101. Perhaps we should standardize to a common
scale for equity. Find numbers a, b, c, and d such that a + bX and...
The College Board provided comparisons of SAT scores based on the highest level of education attained...
The College Board provided comparisons of SAT scores based on
the highest level of education attained by the test taker's
parents. A research hypothesis was that students whose parents had
attained a higher level of education would on average score higher
on the SAT. This data set contains verbal SAT scores for a sample
of students whose parents are college graduates and a sample of
students whose parents are high school graduates. Use 0.01 as your
level of significance.
Formulate...
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