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Answer :
Final answer:
To find the percentage of students who fail to satisfy the admission requirement, we need to calculate the z-score for the minimum score and use a z-table or calculator.
Explanation:
To find the percentage of students from this school who earn scores that fail to satisfy the admission requirement, we need to calculate the z-score for the minimum admission requirement score. The z-score formula is given by z = (X - μ) / σ, where X is the score we want to convert to a z-score, μ is the mean of the distribution, and σ is the standard deviation. Plugging in the values, we have z = (809 - 1524) / 298 ≈ -2.24. We can then use a z-table or a calculator to find the percentage of scores below the z-score of -2.24, which represents the percentage of students who fail to satisfy the admission requirement.
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