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Introduction to statistics

Task 4*(HR): Convert Raw Scores to Z Scores, T Scores, & Performance Categories
*Some students may prefer to complete Task 5 before Task 4 .
a) List the scores in order from lowest to highest.
b) Use the mean calculated in Assignment 1 (it has 1 decimal) and the population standard deviation (sigma, ) calculated in task 2 (rounded to 2 decimals.)
c) Convert all the raw scores to Z scores. Use Round to 2 decimals.
d) Convert the Z scores to T scores. Use T = 50 + (Z * 10)
    Round to a whole number.
e) Interpret each T score as a performance category using the definitions below.
 
         Low                Average       High Average         Elevated      Very Elevated
Lower than 45           45-54              55-59                60-69               70+
 
HR Mean ()      HR Standard deviation (s)
 
Raw Score          Z score           T score          Performance Category
                     (2 decimals) (whole number)

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