Many states assess the skills of their students in various grades. One program that is available...

Many states assess the skills of their students in various grades. One program that is available for this purpose is the National Assessment of Educational Progress (NAEP). We assumed that the NAEP U.S. history scores for twelfth-grade students are approximately Normal with the reported mean and standard deviation, N(295 , 33 ). For the twelfth-grade U.S. history scores, the following percentiles are reported:

Percentile	Score
10%	252
25%	282
50%	298
75%	274
90%	271

Let's check that assumption. In addition to means and standard deviations, you can find selected percentiles for the NAEP assessments.

Use these percentiles to assess whether or not the NAEP U.S. history scores for twelfth-grade students are approximately Normal.

Use software to compute ( ±±0.01) the scores with N(295 , 33 ):

Percentile	Score	Score withN(295 ,33 )
10%	252
25%	282
50%	298
75%	274
90%	271

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