Chapter 5.4, Problem 2LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A population with a mean of μ = 44 and a standard deviation of σ = 6 is standardized to create a new distribution with μ = 50 and σ =10.

**a.**What is the new standardized value for a score of*X*= 47 from the original distribution?**b.**One individual has a new standardized score of*X*= 65. What was this person’s score in the original distribution?

**(a)**

To determine

**To Find:** The new standardized score for

Explanation

**Given Info:**

The population has a mean of

The new distribution has a mean of

**Calculation:**

The *z*-score is used to transform any distribution in to a standardized distribution with a predetermined mean and a predetermined standard deviation. The advantage of the *X* scores transformed to *z*-score tells that the entire population of scores is transformed into *z*-scores.

Use the formula of *z*-score to transform the original raw scores into *z*-scores as follows:

The formula of specified value of *X* is,

Substitute the value 47 for *X*, 44 for

**(b)**

To determine

**To find:** The person’s score in the original distribution.

Sect-5.2 P-1LCSect-5.2 P-2LCSect-5.2 P-3LCSect-5.2 P-4LCSect-5.2 P-1LCASect-5.2 P-2LCASect-5.2 P-3LCASect-5.2 P-4LCASect-5.3 P-1LCSect-5.3 P-2LC

Sect-5.3 P-3LCSect-5.3 P-4LCSect-5.4 P-1LCSect-5.4 P-2LCSect-5.6 P-1LCSect-5.6 P-2LCSect-5.6 P-3LCSect-5.6 P-4LCSect-5.6 P-5LCCh-5 P-1PCh-5 P-2PCh-5 P-3PCh-5 P-4PCh-5 P-5PCh-5 P-6PCh-5 P-7PCh-5 P-8PCh-5 P-9PCh-5 P-10PCh-5 P-11PCh-5 P-12PCh-5 P-13PCh-5 P-14PCh-5 P-15PCh-5 P-16PCh-5 P-17PCh-5 P-18PCh-5 P-19PCh-5 P-20PCh-5 P-21PCh-5 P-22PCh-5 P-23PCh-5 P-24PCh-5 P-25PCh-5 P-26P

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