Question 787524: How do I solve the following problem based on the formula, Z = (x-m)/sd
The graduate selection committee wants to select the top 10% of applicants. On a standardized test with a mean of 500 and a standard deviation of 100, what would be the cutoff score for selecting the top 10% of applicants, assuming that the standardized test is normally distributed?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The graduate selection committee wants to select the top 10% of applicants. On a standardized test with a mean of 500 and a standard deviation of 100, what would be the cutoff score for selecting the top 10% of applicants, assuming that the standardized test is normally distributed?
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Find the z-score with a 90% left-tail.
invNorm(0.9) = 1.2816
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Find the corresponding score value
You want the score 1.2816 standard deviations above the mean.
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x = 1.2816*100 + 500
x = 128.16 + 500
x = 628.16
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Cheers,
Stan H.
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