SOLUTION: Which of the following exam scores is better relative to other students enrolled in the course? • A psychology exam grade of 85; the mean grade for the psychology exam is 92 with

Question 1189495: Which of the following exam scores is better relative to other students enrolled in the course? • A psychology exam grade of 85; the mean grade for the psychology exam is 92 with a standard deviation of 3.5 • An economics exam grade of 67; the mean grade for the economics exam is 79 with a standard deviation of 8 • A chemistry exam grade of 62; the mean grade for the chemistry exam is 62 with a standard deviation of 5
Answer by ikleyn(52817) (Show Source): You can put this solution on YOUR website!
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Which of the following exam scores is better relative to other students enrolled in the course?
(a) A psychology exam grade of 85; the mean grade for the psychology exam is 92 with a standard deviation of 3.5;
(b) An economics exam grade of 67; the mean grade for the economics exam is 79 with a standard deviation of 8;
(c) A chemistry exam grade of 62; the mean grade for the chemistry exam is 62 with a standard deviation of 5.
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For each exam/grade you should calculate its z-score; then compare three z-score to determine which one is higher.


Use the formula for z-score


    Z = 


where


Z	=	standard score
x	=	observed value
mu	=	mean of the sample
sigma	=	standard deviation of the sample


Use this formula separately for each case.


(a)   =  = -2;


(b)   =  = -1.5;


(c)   =  =  0.0.


So, the score  is highest.  It means that that the exam score is better (is the best) for this exam (c).    


The three Z-scores are in this order   <  < .

Solved.

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