Question

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1516 and a standard deviation of 308. The local college includes a minimum score of 1578 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X<1578)- Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact $z$-scores or $z$-scores rounded to 3 decimal places are accepted.

          The combined SAT scores for the students at a local high school are normally distributed with a mean of 1516 and a standard deviation of 308. The local college includes a minimum score of 1578 in its admission requirements.
What percentage of students from this school earn scores that fail to satisfy the admission requirement?
P(X<1578)- 
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact $z$-scores or $z$-scores rounded to 3 decimal places are accepted.

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The combined SAT scores for the students at a local high school are normally distributed with a mean of 1516 and a standard deviation of 308. The local college includes a minimum score of 1578 in its admission requirements.
What percentage of students from this school earn scores that fail to satisfy the admission requirement?
P(X<1578)-
Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact $z$-scores or $z$-scores rounded to 3 decimal places are accepted.

Added by Gary N.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Gaurav Kalra

12/12/2022

Step 1

The z-score formula is: z = (X - μ) / σ Where: X = minimum admission requirement = 1578 μ = mean = 1516 σ = standard deviation = 308 z = (1578 - 1516) / 308 z = 62 / 308 z = 0.2013 Show more…

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The combined SAT scores for the students at a local high school are normally distributed with a mean of 1516 and a standard deviation of 308. The local college includes a minimum score of 1578 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X<1578) % Enter your answer as a percent accurate to 1 decimal place. Do not enter the % sign. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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