8.34 The National Center for Education Statistics reported 4th-grade reading sco

Question

8.34 The National Center for Education Statistics reported 4th-grade reading scores in 2003 to have mean 217 and standard deviation 126, while scores had standard deviation 85. The for a mean reading score of 212 for a sample of size 3,115 is 26 v3,115 2.21 and the z-score for a mean math score of 228 for a sample of size 3,154 is (228 234) (85/V3,154) 3.96 Tell whether or not each of the following contributes to the result that z is more extreme for the mean math score than it is for the mean reading score. a. 228 is farther from 234 than 212 is from 217. b. The standard deviation for math is smaller than that for reading. c. The sample size is larger for math than it is for reading.

Explanation / Answer

As can be observed from the formula of standard score that the difference between sample mean score and true score, standard deviation and sample size, all are used . Thus all of these three terms given by parts a,b and c contribute to the result of z- score.

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