Question

It has been found that scores on the Writing portion of the SAT (Scholastic Aptitude Test)...

It has been found that scores on the Writing portion of the SAT (Scholastic Aptitude Test) exam are normally distributed with mean 484 and standard deviation 115. Use the normal distribution to answer the following questions.

(a) What is the estimated percentile for a student who scores 475 on Writing?

(b) What is the approximate score for a student who is at the 90th percentile for Writing?

Homework Answers

Answer #1

Solution :

Given that,

mean = = 484

standard deviation = = 115

P(X< 475) = P[(X- ) / < (475-484) /115 ]

= P(z <-0.08 )

Using z table

= 0.4681

=46.81%

b.

Using standard normal table,

P(Z < z) = 90%

= P(Z < z) = 0.90  

z = 1.28 Using standard normal z table,

Using z-score formula  

x= z * +

x= 1.28*115+484

x= 631.2

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
According to the College Board, the mean score in 2017 for the Scholastic Aptitude Test (SAT)...
According to the College Board, the mean score in 2017 for the Scholastic Aptitude Test (SAT) was 1060 points with a standard deviation of 195 points https://collegereadiness.collegeboard.org/pdf/sat‐percentile‐ranks‐gender‐race‐ ethnicity.pdf). Assume that SAT scores are normally distributed. A. Approximately what percent of SAT‐takers score between 800 and 1200? B. Approximately what percent of SAT‐takers score 1340 and above? C. Approximately what is the probability of a random sample of 9 SAT‐ takers getting a group average score of 1340 and above? Is...
The Scholastic Aptitude Test (SAT) scores in mathematics at a certain high school are normally distributed,...
The Scholastic Aptitude Test (SAT) scores in mathematics at a certain high school are normally distributed, with a mean of 550 and a standard deviation of 100. What is the probability that an individual chosen at random has the following scores? (Round your answers to four decimal places.) (a) greater than 650 (b) less than 450 (c) between 600 and 750 Use the table of areas under the standard normal curve to find the probability that a z-score from the...
Scholastic Aptitude Test (SAT) mathematics scores of a random sample of 500 high school seniors in...
Scholastic Aptitude Test (SAT) mathematics scores of a random sample of 500 high school seniors in the state of Texas are collected, and the sample mean and standard deviation are found to be 501 and 112, respectively. Find a 99% confidence interval on the mean SAT mathematics score for seniors in the state of Texas.
The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used...
The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for college admissions in the United States. Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300. Clinton College would like to offer an honors scholarship to students who score in the top 10 percent of this test. What is the minimum score that qualifies for the scholarship? What is the cut off score...
The Scholastic Aptitude Test (SAT) contains three sections: critical reading, mathematics and writing. Each part is...
The Scholastic Aptitude Test (SAT) contains three sections: critical reading, mathematics and writing. Each part is scored on a 500-point scale. Information on test scores for the 2018 version of SAT is available at the College Board website. A sample of SAT scores for 5 students follow: SAT scores - 2017 Student Reading Math Writing 1 453 458 465 2 456 458 459 3 454 460 457 4 458 455 461 5 454 454 463 mean 455 457 461 ANOVA...
(7pt) The Scholastic Aptitude Test (SAT) contains three sections: critical reading, mathematics and writing. Each part...
(7pt) The Scholastic Aptitude Test (SAT) contains three sections: critical reading, mathematics and writing. Each part is scored on a 500-point scale. Information on test scores for the 2018 version of SAT is available at the College Board website. A sample of SAT scores for 5 students follow:                                                                                                                        ANOVA Table Source of variation Sum of Squares (SS) Degrees of freedom Mean Square (MS) F Treatment 93.3 2.0 46.67 8.75 Error 64.0 12.0 5.33 Total 157.3 14                  SAT scores...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT)...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state and out-of-state applicants. A random sample of 8 in-state applicants results in a SAT scoring mean of 1138 with a standard deviation of 29. A random sample of 17 out-of-state applicants results in a SAT scoring mean of 1219 with a standard deviation of 27. Using this data, find the 98% confidence interval for the true mean difference between the...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT)...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state and out-of-state applicants. A random sample of 9 in-state applicants results in a SAT scoring mean of 1238 with a standard deviation of 49. A random sample of 17 out-of-state applicants results in a SAT scoring mean of 1150 with a standard deviation of 35. Using this data, find the 99% confidence interval for the true mean difference between the...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT)...
The admissions officer at a small college compares the scores on the Scholastic Aptitude Test (SAT) for the school's in-state and out-of-state applicants. A random sample of 99 in-state applicants results in a SAT scoring mean of 12311231 with a standard deviation of 3636. A random sample of 1919 out-of-state applicants results in a SAT scoring mean of 11611161 with a standard deviation of 3737. Using this data, find the 98%98% confidence interval for the true mean difference between the...
Data from a state indicate that scores on the SAT test are normally distributed with a...
Data from a state indicate that scores on the SAT test are normally distributed with a mean of 1089 and a standard deviation of 199. Scores on the ACT test are normally distributed with a mean of 19.1 and a standard deviation of 4.4. It is assumed that the two tests measure the same aptitude, but use different scales. If a student gets an SAT score that is the 58 percentile, find the actual SAT score. Round answer to a...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT