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Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912

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BuyFindarrow_forward

Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912
Textbook Problem

A distribution with a mean of μ = 38 and a standard deviation of σ = 5 is transformed into a standardized distribution with μ = 50 and σ = 10 . Find the new, standardized score for each of the following values from the original population.

   X = 39

   X = 43

   X = 35

   X = 28

To determine

Find the new standardized score for the following values from the original population.

Explanation

Given:

Population mean (µ) = 38

Population standard deviation (σ) = 5

Now this distribution is transformed into a standardized distribution with

μ = 50

and σ = 10

Formula used:

z= xμ σ x=μ+z*σ

Calculation:

First, we have to find z-score for each observation using μ = 38 and σ = 5

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