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Answer :
Final answer:
To find the percentage of students who earn scores that fail to satisfy the admission requirement, calculate the z-score and use a z-table or calculator.
Explanation:
To find the percentage of students who earn scores that fail to satisfy the admission requirement, we need to calculate the z-score corresponding to the minimum admission requirement. The z-score formula is (X - μ) / σ, where X is the minimum score requirement, μ is the mean, and σ is the standard deviation. Plugging in the values, we get the z-score as (2278 - 1480) / 307 = 2.587. Using a z-table or calculator, we can find the percentage associated with this z-score, which is approximately 99.6%. Therefore, about 99.6% of students from this school earn scores that fail to satisfy the admission requirement.
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