College

We appreciate your visit to As reported in Table 5 1 the mean SAT Evidence Based Reading and Writing ERW score was 536 with a standard deviation of 102 in. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

As reported in Table 5.1, the mean SAT Evidence-Based Reading and Writing (ERW) score was 536 with a standard deviation of 102 in 2018.

1. What percentage of students scored above 625?
2. What percentage of students scored between 400 and 625?
3. A college decides to adjust its admission policy. As a first step, the admissions committee decides to exclude student applicants scoring below the 20th percentile on the ERW SAT exam. Translate this percentile into a Z score. Then, calculate the equivalent SAT ERW test score.

Answer :

Final answer:

The percentage of students who scored above 625 on the SAT ERW is approximately 19.55%. The percentage of students who scored between 400 and 625 is approximately 9.86%. The SAT ERW test score equivalent to the 20th percentile is approximately 452.08.

Explanation:

To find the percentage of students who scored above 625 on the SAT ERW, we first need to calculate the Z-score for 625. The formula to calculate the Z-score is (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation. So, Z = (625 - 536) / 102 = 0.871.

Next, we can use a Z-table or a calculator to find the percentage corresponding to a Z-score of 0.871. From the Z-table, we find that the percentage is approximately 19.55%. Therefore, approximately 19.55% of students scored above 625.

To find the percentage of students who scored between 400 and 625, we can use the Z-scores of the two values. Z1 = (400 - 536) / 102 = -1.333 and Z2 = (625 - 536) / 102 = 0.871. Using the Z-table, we find that the percentage corresponding to Z1 is approximately 9.69% and the percentage corresponding to Z2 is approximately 19.55%. Therefore, the percentage of students who scored between 400 and 625 is approximately 19.55% - 9.69% = 9.86%.

Now, to translate the 20th percentile into a Z-score, we need to find the Z-score corresponding to a cumulative percentage of 20%. From the Z-table, we find that the Z-score is approximately -0.84. Using the formula for Z-score, we can calculate the SAT ERW test score equivalent to this Z-score:

X = Z * σ + μ = -0.84 * 102 + 536 = 452.08.

Therefore, the SAT ERW test score equivalent to the 20th percentile is approximately 452.08.

Learn more about SAT here:

https://brainly.com/question/33236061

#SPJ1

Thanks for taking the time to read As reported in Table 5 1 the mean SAT Evidence Based Reading and Writing ERW score was 536 with a standard deviation of 102 in. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada