A distribution with a mean of ?μ= 76 and a standard deviation of ?σ= 12 is transformed into a standardized distribution with a ?μ= 100 and ?σ=20. Find the new , standardized score for each of the following values from the original population.  Please show z-score and new score  Z =X-?μ/?σand X = ?μ+Z?σ Original               Z-score                        New score X = 61                       X = 70 X = 85 X = 94 X = 77

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A distribution with a mean of ?μ= 76 and a standard deviation of ?σ= 12 is transformed into a standardized distribution with a ?μ= 100 and ?σ=20. Find the new , standardized score for each of the following values from the original population.  Please show z-score and new score  Z =X-?μ/?σand X = ?μ+Z?σ

Original               Z-score                        New score

X = 61                      

X = 70

X = 85

X = 94

X = 77

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