An educational testing service administers a national test to measure the readin

Question

An educational testing service administers a national test to measure the reading comprehension of third-grade students. Only standardized scores are reported. The scores are approximately normally distributed. The testing service classifies scores above the 90th percentile as outstanding, between the 70th and 90th percentile as above average, between the 30th percentile and 70th percentile as average, between the 10th percentile and the 30th percentile as below average, and below the 10th percentile as poor. Find the z-scores corresponding to the 90th, 70th, 30th, and 10th percentiles.

Explanation / Answer

from normal value table

z score corresponding to 90th percentile =1.2816

z score corresponding to 70th percentile =0.5244

z score corresponding to 30th percentile =-0.5244

z score corresponding to 10th percentile =-1.2816

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