The WAIS is a standardized IQ test with a verbal and a non-verbal "performance" component, which separately measure language-related (e.g., vocabulary) and non- language related skills (e.g., reasoning about numerical quantity). The tests have been extensively normed, and the mean Verbal IQ (VIQ) and Performance IQ (PIQ) scores are uviq=µPIQ=100, and both tests have a standard deviation of o=15. The Full Scale IQ (FSIQ) is calculated by averaging these two subtests, and is used as an indicator of general cognitive ability. The FSIQ score also has a population mean of HPSIQ=100 and o=15. Statistical criteria are applied to these test scores to diagnose general cognitive impairment or a specific learning disorder like dyslexia (difficulty reading) or dyscalculia (difficulty with mathematical reasoning). Social services are available to those who meet a threshold of cognitive impairment. In some states, those with a FSIQ score of less than 85 meet this threshold. What proportion of the population in these states meets this criterion?

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The WAIS is a standardized IQ test with a verbal and a non-verbal "performance"
component, which separately measure language-related (e.g., vocabulary) and non-
language related skills (e.g., reasoning about numerical quantity). The tests have
been extensively normed, and the mean Verbal IQ (VIQ) and Performance IQ (PIQ)
scores are uviQ=UPIQ=100, and both tests have a standard deviation of o=15. The
Full Scale IQ (FSIQ) is calculated by averaging these two subtests, and is used as
an indicator of general cognitive ability. The FSIQ score also has a population mean
of HFSIQ=100 and o=15.
Statistical criteria are applied to these test scores to diagnose general cognitive
impairment or a specific learning disorder like dyslexia (difficulty reading) or
dyscalculia (difficulty with mathematical reasoning).
7. Social services are available to those who meet a threshold of cognitive impairment.
In some states, those with a FSIQ score of less than 85 meet this threshold. What
proportion of the population in these states meets this criterion?
8. A school district in WNY has 20,000 students in any given year. Of these students,
those with very high or very low IQ scores (FSIQ > 1150or FSIQ < 85 ) are enrolled
in specialized programs. How many students in the district would we expect are not
enrolled in specialized programs in a given year?
9. Specific learning disorders like Dyslexia are diagnosed by a discrepancy between
the scores on the IQ subtests. For example, a student with low VIQ score but a
normal or high PIQ score might be diagnosed with a specific language impairment.
In one school district, any PIQ or VIQ score above 86 is considered to be in the
normal range; scores below that cutoff are classified as "low". What proportion of the
population has a discrepancy diagnosis indicating a language impairment (a low VIQ
score and a normal PIQ score)?
Transcribed Image Text:The WAIS is a standardized IQ test with a verbal and a non-verbal "performance" component, which separately measure language-related (e.g., vocabulary) and non- language related skills (e.g., reasoning about numerical quantity). The tests have been extensively normed, and the mean Verbal IQ (VIQ) and Performance IQ (PIQ) scores are uviQ=UPIQ=100, and both tests have a standard deviation of o=15. The Full Scale IQ (FSIQ) is calculated by averaging these two subtests, and is used as an indicator of general cognitive ability. The FSIQ score also has a population mean of HFSIQ=100 and o=15. Statistical criteria are applied to these test scores to diagnose general cognitive impairment or a specific learning disorder like dyslexia (difficulty reading) or dyscalculia (difficulty with mathematical reasoning). 7. Social services are available to those who meet a threshold of cognitive impairment. In some states, those with a FSIQ score of less than 85 meet this threshold. What proportion of the population in these states meets this criterion? 8. A school district in WNY has 20,000 students in any given year. Of these students, those with very high or very low IQ scores (FSIQ > 1150or FSIQ < 85 ) are enrolled in specialized programs. How many students in the district would we expect are not enrolled in specialized programs in a given year? 9. Specific learning disorders like Dyslexia are diagnosed by a discrepancy between the scores on the IQ subtests. For example, a student with low VIQ score but a normal or high PIQ score might be diagnosed with a specific language impairment. In one school district, any PIQ or VIQ score above 86 is considered to be in the normal range; scores below that cutoff are classified as "low". What proportion of the population has a discrepancy diagnosis indicating a language impairment (a low VIQ score and a normal PIQ score)?
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