Question

The distribution of student scores on the quantitative section of the SAT has an approximately normal distribution with a mean score of 501 points, and a standard deviation of 85 points. Suppose a college with competitive admissions will only accept students who scored at least a 550 on the quantitative section of the SATS. What proportion of students will NOT qualify for acceptance at that college based on SAT scores? Provide all four decimal places in your answer.

Name: the distribution of student scores on the quantitative section of the sat has an approximately normal distribution with a mean score of 501 points and a standard deviation of 85 points suppose a colle
Uploaded: 2021-11-15T10:15:15-08:00
Duration: 2 min 57 s
Channel: Ajiboye Tunde
Description: the distribution of student scores on the quantitative section of the sat has an approximately normal distribution with a mean score of 501 points and a standard deviation of 85 points suppose a colle

          The distribution of student scores on the quantitative section of the SAT has an approximately normal distribution with a mean score of 501 points, and a standard deviation of 85 points.

Suppose a college with competitive admissions will only accept students who scored at least a 550 on the quantitative section of the SATS. What proportion of students will NOT qualify for acceptance at that college based on SAT scores?

Provide all four decimal places in your answer.

Added by Matthew S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ajiboye Tunde

11/15/2021

Step 1

Given: Mean (μ) = 501 Standard Deviation (σ) = 85 Score (X) = 550 Z = (X - μ) / σ Z = (550 - 501) / 85 Z = 49 / 85 Z ≈ 0.5765 Show more…

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The distribution of student scores on the quantitative section of the SAT has an approximately normal distribution with a mean score of 501 points, and a standard deviation of 85 points. Suppose a college with competitive admissions will only accept students who scored at least a 550 on the quantitative section of the SATS. What proportion of students will NOT qualify for acceptance at that college based on SAT scores? Provide all four decimal places in your answer.