document.write( "Question 263248: An employee gives a pre-employment evaluation to a large group of applicants. The scores are normally distributed with a mean of 154 and a standard deviation of 7. The employer wants to interview only those applicants who score in the top 5%. What should the cut-off score be for the interviews? \n" ); document.write( "

Algebra.Com's Answer #193988 by stanbon(75887) $\"\"$ $\"About$

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An employee gives a pre-employment evaluation to a large group of applicants. The scores are normally distributed with a mean of 154 and a standard deviation of 7. The employer wants to interview only those applicants who score in the top 5%. What should the cut-off score be for the interviews?
\n" ); document.write( "An employee gives a pre-employment evaluation to a large group of applicants. The scores are normally distributed with a mean of 154 and a standard deviation of 7. The employer wants to interview only those applicants who score in the top 5%. What should the cut-off score be for the interviews?
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\n" ); document.write( "Find the z-score that determines a 5% right tail.
\n" ); document.write( "That z-score is z = invNorm(0.95) = 1.6448..
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\n" ); document.write( "Now find the raw score that corresponds to that z-score:
\n" ); document.write( "x = zs + u
\n" ); document.write( "x = 1.6448*7 + 154
\n" ); document.write( "x = 165.51 (This is the cut-off score)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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