courses.aplia.com Cengage Aplia: Student Question 017) Johanna HomeGrades Person

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courses.aplia.com Cengage Aplia: Student Question 017) Johanna HomeGrades Personalized Reviews Discussion Course Materials Scores-Location of Scores and Standardized Distributions raded Assignment | Read Chapter 5 | Back to Assignment Due Monday 10.02.17 at 11:4 Attempts: Score: /4 17. Chapter 5, Problem 18 Aa Aa A distribution with a mean of = 38 and a standard deviation of -5 is being transformed into a standardized distribution with -50 and = 10, Find the new, standardized score for each of the following values from the original population. Original X-39 Original X = 43 Original X-35 Original X = 28 Transformed X= Transformed Transformed X = Transformed X- yer MAC Aplia. All rights reserved Graded Cengage Learning except as noted. As rights reserved Continue without saving Copyright Notices Terms of Use Privacy Notice Security Notice Accessibility

Explanation / Answer

Mean = 38 , standard deviation = 5

After transforming in standardized distribution ,

new mean = 50 , new standard deviation = 10

Using new mean and new standard deviation for calculating standardized score for transformed x.

X = 39 Z = ( x - 50 ) / 10 = (39-50) / 10 = -1.1

X = 43 Z = ( x - 50 ) / 10 = (43-50) / 10 = -0.7

X = 35 Z = ( x - 50 ) / 10 = (35-50) / 10 = -1.5

X = 28 Z = ( x - 50 ) / 10 = (28-50) / 10 = -2.2

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