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Health Sciences, Other
Year 2

Z Scores and Percentiles


Z Scores and Percentiles

Mary is a social worker who leads a treatment group of young adults diagnosed with chronic anxiety. Group members are selected for treatment based on their scores on a particular screening device, Anxiety Scale A. This instrument has a mean of 60 and a standard deviation of 12.  Those scoring over 72 on Anxiety Scale A are eligible to join the treatment group.  
Suppose there is a vacancy in the group that must be filled.  Mary refers to her files and finds that she has a client named Jessie who qualifies for the treatment because her score on Anxiety Scale A was 76.  However, there is a new client, Marvin, who was referred to the treatment center from another clinic.  His records indicate that at his previous treatment center Marvin scored a 68 on Anxiety Scale B, another valid and reliable measuring instrument.  Anxiety Scale B has a mean of 52 and a standard deviation of 10.
Mary is forming a new treatment group of young adults with very high anxiety levels.  She will only admit those in the 95th percentile of above on Anxiety Scale A.

Question is :  What is the lowest raw score that a client must have on Anxiety Scale A in order to be admitted into this new group?  Also assuming some clinics use Anxiety Scale B and often refer their clients to Mary, what is the cutoff point (lowest raw score) for these clients to be admitted into the new group?

I also have a chart that is too lengthy to include with this question.. It is areas under the Standard Normal Curve (the z table)  it has z scores listed and the percnet that the z equals.  If I need to look up certain z scores to give you the percent please email me back with those numbers..  Thank you !!!!!

By OTA:  John Robertson, PhD (IP)

OTA Rating:  4.5/5

Your Price:  $2.19  (original value ~$15.96)

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