Question

**The national average for the math portion of the College
Board’s SAT is 521 with a standard deviation of 92. The median is
554.**

**1. What is the shape of the SAT math score distribution?
Why?**

**2. _____________Rule predicts that __________percent of
the SAT math score should lie between a 337 and 705, which are
+/-___________ standard deviation(s) away from the
mean.**

Answer #1

The national average for the math portion of the College Board’s
SAT is 513 with a standard deviation of 92. The median is 480. The
SAT math score data has a _____ distribution because the mean is
_______the median. Therefore, the ______ rule predicts that ____of
this data should lie between 237 and 789 because these points are
+/-______ standard deviation(s) away from the mean.

The national average for the math portion of the College Board’s
SAT is 513 with a standard deviation of 84. The median is 513.
The SAT math score data has a _____ distribution because the
mean is _______the median. Therefore, the ______ rule predicts that
____of this data should lie between 429 and 597 because these
points are +/-______ standard deviation(s) away from the mean.

Suppose that the national average for the math portion of the
College Board's SAT is 512. The College Board periodically rescales
the test scores such that the standard deviation is approximately
100. Answer the following questions using a bell-shaped
distribution and the empirical rule for the math test scores.
If required, round your answers to two decimal places. If your
answer is negative use “minus sign”.
(a)
What percentage of students have an SAT math score greater than
612?
%...

Suppose that the national average for the math portion of the
College Board's SAT is 514. The College Board periodically rescales
the test scores such that the standard deviation is approximately
75. Answer the following questions using a bell-shaped distribution
and the empirical rule for the math test scores. If required, round
your answers to two decimal places. (a) What percentage of students
have an SAT math score greater than 589? % (b) What percentage of
students have an SAT...

Suppose that the national average for the math portion of the
College Board's SAT is 547. The College Board periodically rescales
the test scores such that the standard deviation is approximately
75. Answer the following questions using a bell-shaped distribution
and the empirical rule for the math test scores.
If required, round your answers to two decimal places.
(a)
What percentage of students have an SAT math score greater than
622?
%
(b)
What percentage of students have an SAT...

Suppose that the national average for the math portion of the
College Board's SAT is 515. The College Board periodically rescales
the test scores such that the standard deviation is approximately
100. Answer the following questions using a bell-shaped
distribution and the empirical rule for the math test scores.
If required, round your answers to two decimal places. If your
answer is negative use “minus sign”.
(a)
What percentage of students have an SAT math score greater than
615?
(b)...

For all U.S. students nationally who take the SAT, the average
SAT Math score is 500, with a population standard deviation of 125.
A random sample of 10 students entering Whitmer College had an
average SAT Math (SAT-M) score of 530. The sample data can be used
to test the claim that the mean SAT-M score of all Whitmer College
students is different than the national mean SAT-M score. Based on
the given information, have the conditions for this hypothesis...

Eleanor scores 680 on the math portion of the SAT. The
distribution of math SAT scores is approximately Normal, with mean
500 and standard deviation 100. Jacob takes the ACT math test and
scores 27. ACT math test scores are Normally distributed with mean
18 and standard deviation 6.
a. Find the standardized scores (z-scores) for both students.
b. Assuming that both tests measure the same kind of ability, who
has the higher score?
c. What score must a student...

Math SAT: Suppose the national mean SAT score
in mathematics was 515. In a random sample of 40 graduates from
Stevens High, the mean SAT score in math was 508, with a standard
deviation of 35. Test the claim that the mean SAT score for Stevens
High graduates is the same as the national average. Test this claim
at the 0.10 significance level.
(a) What type of test is this?
This is a left-tailed test.This is a two-tailed
test. This is...

Estimating Mean SAT Math Score
The SAT is the most widely used college admission exam. (Most
community colleges do not require students to take this exam.) The
mean SAT math score varies by state and by year, so the value of µ
depends on the state and the year. But let’s assume that the shape
and spread of the distribution of individual SAT math scores in
each state is the same each year. More specifically, assume that
individual SAT math...

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