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Hello, I am having some troubles with part B. As you can see from the attached s

ID: 3302991 • Letter: H

Question

Hello, I am having some troubles with part B. As you can see from the attached screenshot, all other parts are correct, but I keep getting the same incorrect answer of 2.28%. Thank you for your help.

Question: Suppose that the national average for the math portion of the College Board's SAT is 543. 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 643?

Answer: 15.87%

(b) What percentage of students have an SAT math score greater than 743?

(c) What percentage of students have an SAT math score between 443 and 543?

Answer: 34.13%

(d) What is the z-score for student with an SAT math score of 625?

Answer: 0.82

Answer: -1.28

(a) What percentage of students have an SAT math score greater than 643?

Answer: 15.87%

(b) What percentage of students have an SAT math score greater than 743?

(c) What percentage of students have an SAT math score between 443 and 543?

Answer: 34.13%

(d) What is the z-score for student with an SAT math score of 625?

Answer: 0.82

(e) What is the z-score for a student with an SAT math score of 415?

Answer: -1.28


Problem 2-23 Suppose that the national average for the math portion of the College Board's SAT is 543. 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 643? 15.87 (b) What percentage of students have an SAT math score greater than 743? 2.28 (c) What percentage of students have an SAT math score between 443 and 543? 34.13 (d) What is the z-score for student with an SAT math score of 625? 0.82 (e) What is the z-score for a student with an SAT math score of 415? Hide Feedback Partially Correct

Explanation / Answer

b) z = (743 - 543)/100

z = 2

P(z > 2) = 1- 0.97725 = 0.02275 or 2.28 is the answer i am getting

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