MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The town of Butler, Nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher. The raw test scores ranged from 0 to 100. Was a raw score of 82 necessarily a passing score? Choose one of the following answers:

A. Yes, since a score of 82 is higher than 70.
B. No, it might have a percentile rank less than 70.    
C. No, it might have a percentile rank greater than 70.
D. Yes, it might have a percentile rank less than 70.
Expert Solution
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Given Information:

 The raw test scores ranged from 0 to 100. Nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher.

To determine if a raw score of 82 is necessarily a passing score:

 

Percentile is a measure indicating the value below which a given percentage of observations fall.

In this case, 70 percentile is the score below which 70% of the scores lie. 

The passing scores are those in the 70th percentile or higher. Suppose 50 teachers out of 100 scored more than 82 out of 100 then a score of 80 is just the 50th percentile and not the 70th percentile.

So, it might be possible that less than 70% scores lie below 82, in which case it cannot be considered as 70th percentile.

So, the score 82 might not be necessarily a passing score as it may have percentile score less than 70 percentile.

 

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