Question

The SAT scores earned on the math portion are approximately normally distributed with mean 516 and standard deviation 116. Answer the following questions based on this information. Make sure you show your work.

1. Using a printout of the graph above or making your own copy, mark the mean SAT score on the math proportion at the appropriate place. Then mark values of score that are 1, 2, and 3 standard deviations away from the mean value. Labeling your marks with the corresponding scores.

2. Using the curve from question 1, shade the area under the curve that corresponds to P(X<500).

3. Find P(X<500). State in a sentence what this value represents in context of the data.

4. Using another version of the curve above, shade the area under the curve where X>600.

5. Find P(X>600). State in a sentence what this value represents in context of the data.

6. Find the probability that a test taker scores between 500 and 600.

7. If a test taker is at the 80th percentile, what is the score?

Answer #1

Suppose that SAT math scores are normally distributed with a
mean of 516 and a standard deviation of 115, while ACT math scores
have a normal distribution with a mean of 22 and a standard
deviation of 5. James scored 650 on the SAT math and Jacob scored
29 on the ACT math. Who did better in terms of the standardized
z-score?
Group of answer choices
James
Jacob
They did relatively the same.
Impossible to tell because of the scaling

1.The distribution of 2015 SAT scores in mathematics are
normally distributed with a mean score of 514 points and a standard
deviation of 118 points. What score does a student need in order to
score in the top 1% of all SAT scores?
ANSWER QUESTIONS A-G FOR QUESTION ABOVE(DRAW LABEL NORMAL
CURVE)
(A) label the x-axis with a complete description in the context
of the setting on Normal curve.
(B) label the value of the mean
(C) label the value...

For all U.S. students nationally who take the SAT, SAT Math
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all U.S. students . A random sample of 100 students entering
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sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is lower than the national mean SAT-M score. Based...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students . A random sample of 100 students entering
Whitmer College had an average SAT Math (SAT-M) score of 520 and a
sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is higher than the national mean SAT-M score. Based...

Combined math and verbal SAT scores are normally distributed with a
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admissions office requires a comined SAT score in the top 20% of
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admission?

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students and a population standard deviation of 125. A
random sample of 100 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.
From the...

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course which runs over several
weeks. The statistician for a consumer protection agency
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(b) What is the probability of obtaining a sample mean at or
above 500? Also, please illustrate this using a
graph.
(c) Make a graph in which you shade...

The scores on the SAT college entrance exam are normally
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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
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each state is the same each year. More specifically, assume that
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