Question
In: Statistics and Probability
The SAT scores earned on the math portion are approximately normally distributed with mean 516 and...
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?
Solutions
Expert Solution
If you Satisfy with Answer, Please give me "Thumb Up". It was very important to me.
orchestra answered 2 years agoRelated Solutions
Suppose that SAT math scores are normally distributed with a mean of 516 and a standard...
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
31. The 2018 Math Portion of the SAT scores are normally distributed with a mean of...
31. The 2018 Math Portion of the SAT scores are normally
distributed with a mean of 527 and a standard deviation of 117.
Give the range of scores that will satisfy the 68%, 95% and 99.7%
of the Empirical Rule.
32. Use the mean and standard deviation from #31 for the Math
Portion of the SAT. Suzette took the SAT in 2018 and scored higher,
on the Math Portion, than the bottom 30% but lower than the top 12%
of...
1. SAT math scores are normally distributed with a mean 525 and a standard deviation of...
1. SAT math scores are normally distributed with a mean 525 and
a standard deviation of 102. In order to qualify for a college you
are interested in attending your SAT math score must be in the
highest 9.34% of all SAT scores. What is the minimum score you need
on the SAT to qualify for the college?
2. If you get into this college you are interested in running
for the track team. To qualify for the track team...
Math SAT scores are known to be normally distributed with mean of 500 and standard deviation...
Math SAT scores are known to be normally distributed
with mean of
500 and standard deviation of 100. Answer the following questions.
(I also want to see
good notation and some of your calculations.)
a) Suppose we randomly select one person who has taken the SAT.
What is the
probability their math score is between 525 and 550?
b) Suppose we randomly select 25 people who have taken the SAT.
What is the
probability their average math score is between...
Math SAT scores (Y) are normally distributed with a mean of 1500 and a standard deviation...
Math SAT scores (Y) are normally distributed with a
mean of 1500 and a standard deviation of 140. An evening school
advertises that it can improve students' scores by roughly a third
of a standard deviation, or 30 points, if they attend a course
which runs over several weeks. (A similar claim is made for
attending a verbal SAT course.) The statistician for a consumer
protection agency suspects that the courses are not effective. She
views the situation as follows:...
Scores for men on the verbal portion of the SAT test are normally distributed with a...
Scores for men on the verbal portion of the SAT test are
normally distributed with a mean of 509 and a standard deviation of
112. Randomly selected men are given the Columbia Review Course
before taking the SAT test. Assume the course has no effect.
a) If 1 of the men is randomly
selected, find the probability his score is at least 590
b) If 16 of the men are randomly
selected, find the probability that their mean score is...
Suppose that the national average for the math portion of the College Board's SAT is 516....
Suppose that the national average for the math portion of the
College Board's SAT is 516. 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.
(a)
What percentage of students have an
SAT math score greater than 616?
%
(b)
What percentage of students have an
SAT...
Scores for men on the verbal portion of the SAT-I test are normally distributed with a...
Scores for men on the verbal portion of the SAT-I test are
normally distributed with a mean of 509 and a standard deviation of
112.
(a) If 1 man is randomly selected, find the probability
that his score is at least 586.
(b) If 10 men are randomly selected, find the
probability that their mean score is at least 586.
(c) 10 randomly selected men were given a review course before
taking the SAT test. If their mean score is 586, is...
Scores for men on the verbal portion of the SAT-I test are normally distributed with a...
Scores for men on the verbal portion of the SAT-I test are
normally distributed with a mean of 509 and a standard deviation of
112. Randomly selected men are given the Columbia Review Course
before taking the SAT test. Assume that the course has no
effect.
a. If 1 of the men is randomly selected, find the probability
his score is at least 590.
b. If 16 of the men are randomly selected, find the probability
that their mean score...
Scores for men on the verbal portion of the SAT-I test are normally distributed with a...
Scores for men on the verbal portion of the SAT-I test are
normally distributed with a mean of 509 and a standard deviation of
112.
(a) If 1 man is randomly selected, find the probability
that his score is at least 585.
(b) If 16 men are randomly selected, find the
probability that their mean score is at least 585.
16 randomly selected men were given a review course before taking
the SAT test. If their mean score is 585, is there...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- 1. Consider the following nuclides: &
- In general, teams can be described three ways. Name and define each.
- JAVASCRIPT: Please create an array of student names and another array of student grades. - Create...
- Topic - Construction: Structural, loads, tension 1.) Explain why pure tension members are the most efficient...
- Procter and Gamble (PG) paid an annual dividend of $ 1.62$1.62 in 2009. You expect PG...
- locate a recent case of online child pornography. Write a summary of the incident and describe...
- #Python 5. Write function called evaluate() that evaluates the following Python expressions or assignments as specified:...
ADVERTISEMENT