document.write( "Question 888631: On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20. Give the raw scores for persons whose Z scores for persons who score 340, 310, and 260. Give the raw scores for persons whose Z scores on this test are 2.4, 1.5, and -4.5. \n" ); document.write( "

Algebra.Com's Answer #537539 by Okamiden(22) $\"\"$ $\"About$

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Z score for someone with 340 :
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\n" ); document.write( " $\"%28340-300%29%2F20+=+2\"$
\n" ); document.write( "It is simply how many units of \"20\" the persion deviates from the mean \"300\". The person who scores 340 deviates two standard deviations of \"20\" from the mean.
\n" ); document.write( "Answer: 2.
\n" ); document.write( "If we have 310, the same logic applies: $\"%28310-300%29%2F20+=+0.5\"$
\n" ); document.write( "260: $\"%28260-300%29%2F20+=+-2\"$
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\n" ); document.write( "With Z-scores, it's how many standard deviations away from the mean you are.
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\n" ); document.write( "Z-score 2.4:
\n" ); document.write( "Take the mean and add 2.4 times the standard deviation.
\n" ); document.write( "300+2.4*20 = 348.
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\n" ); document.write( "For the two others:
\n" ); document.write( "300+1.5*20 = 330
\n" ); document.write( "300-4.5*20 = 210
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\n" ); document.write( "Hope that helps. :)\r
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