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Assuming SAT score data are normally distributed, if only the top 25% of students based on SAT scores qualify to be interviewed for a particular school what would be the minimum score required to have to be interviewed if the population mean is a 1509 and the standard deviation is 113

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    from your standard Z table, the top 25% is above µ+0.674σ.

    So, that would be 1509+.674*113 = 1585

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