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1.    Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an aptitude test are normally distributed with a mean of 110 and a standard deviation of 7.1.

Boris scored a 67 on the knowledge test and Callie scored 119 on the aptitude test.

 

(a)  Calculate the z-score for Boris.  Round to the nearest hundredth.  Show your work.

 

 

 

(b)  Calculate the z-score for Callie.  Round to the nearest hundredth.  Show your work.

 

 

 

(c)  Who did relatively better on their test, Boris or Callie?  Use the meaning of z-scores to explain.

 
 May 7, 2023

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