document.write( "Question 1173830: In 2012, 1,664,479 students took the SAT exam. The distribution of scores in the verbal section of the SAT had a mean µ = 496 and a standard deviation σ = 114. Let X = a SAT exam verbal section score in 2012. Then X ~ N(496, 114). -Billy scored 334. Find the z-scores for 334 to the nearest tenth. z=_________ -Xito scored 375. Find the z-scores for 375 to the nearest tenth. z=________ -Which student scored better based on their z score, Billy or Xito? \n" ); document.write( "

Algebra.Com's Answer #799242 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,\r
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document.write( "Normal Distribution:
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document.write( "µ = 496  ,   σ = 114      
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document.write( " z = (334-496)/114  = -1.4 (nearest tenth)
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document.write( " z = (375 - 496)/114 = -1.1
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document.write( "Which student scored better based on their z score, Billy or Xito
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document.write( "  -1.4 < -1.1   Billy z-score further away from the mean.
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document.write( "Wish You the Best in your Studies.
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document.write( "For the normal distribution: 
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document.write( "one  standard deviation from the mean accounts for about 68.2% of the set 
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document.write( "two standard deviations from the mean account for about 95.4%
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document.write( "and three standard deviations from the mean account for about 99.7%.
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document.write( "Important to Understand z -values as they relate to the Standard Normal curve:
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