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The researchers went on to say, “[W]e converted each individual's raw test score into age-corrected z scores, reflecting the extent to which an individual's test performance diverges from that of healthy, age-matched peers [from existing large normative data sets]... [I]ndividuals' z scores for individual tests within a cognitive domain were averaged to create five cognitive domain composite scores: attention/working memory, learning/memory, language, processing speed, and executive functioning composites" (p. 85). Why was it okay for the researchers to average the z scores, but not the raw scores? O A. When variables are expressed as z scores, they are all on the same scale. So, averaging across z scores makes sense because z values will mean the same thing across the different tests. O B. It was actually not statistically appropriate for the researchers to average the z scores. O C. When variables are expressed as z scores, they are all on different scales. So, averaging across Z scores makes sense because z values will mean different things across the different tests. O D. Because according to the central limit theorem, z scores will be normally distributed.

The researchers went on to say, “[W]e converted each individual's raw test score into age-corrected z scores, reflecting the extent to which an individual's test performance diverges from that of healthy, age-matched peers [from existing large normative data sets]... [I]ndividuals' z scores for individual tests within a cognitive domain were averaged to create five cognitive domain composite scores: attention/working memory, learning/memory, language, processing speed, and executive functioning composites" (p. 85). Why was it okay for the researchers to average the z scores, but not the raw scores? O A. When variables are expressed as z scores, they are all on the same scale. So, averaging across z scores makes sense because z values will mean the same thing across the different tests. O B. It was actually not statistically appropriate for the researchers to average the z scores. O C. When variables are expressed as z scores, they are all on different scales. So, averaging across Z scores makes sense because z values will mean different things across the different tests. O D. Because according to the central limit theorem, z scores will be normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The researchers went on to say, “[W]e converted each individual's raw test score into age-corrected z scores, reflecting the extent to which an individual's test performance diverges from that of healthy, age-matched peers [from existing large normative data sets]... [I]ndividuals' z scores for individual tests within a cognitive domain were averaged to create five cognitive domain composite scores: attention/working memory, learning/memory, language, processing speed, and executive functioning composites" (p. 85). Why was it okay for the researchers to average the z scores, but not the raw scores? O A. When variables are expressed as z scores, they are all on the same scale. So, averaging across z scores makes sense because z values will mean the same thing across the different tests. O B. It was actually not statistically appropriate for the researchers to average the z scores. O C. When variables are expressed as z scores, they are all on different scales. So, averaging across Z scores makes sense because z values will mean different things across the different tests. O D. Because according to the central limit theorem, z scores will be normally distributed.
Transcribed Image Text:The researchers went on to say, “[W]e converted each individual's raw test score into age-corrected z scores, reflecting the extent to which an individual's test performance diverges from that of healthy, age-matched peers [from existing large normative data sets]... [I]ndividuals' z scores for individual tests within a cognitive domain were averaged to create five cognitive domain composite scores: attention/working memory, learning/memory, language, processing speed, and executive functioning composites" (p. 85). Why was it okay for the researchers to average the z scores, but not the raw scores? O A. When variables are expressed as z scores, they are all on the same scale. So, averaging across z scores makes sense because z values will mean the same thing across the different tests. O B. It was actually not statistically appropriate for the researchers to average the z scores. O C. When variables are expressed as z scores, they are all on different scales. So, averaging across Z scores makes sense because z values will mean different things across the different tests. O D. Because according to the central limit theorem, z scores will be normally distributed.
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