Calculate the z-score for each set of data. Determine who did better on her respective test, Tonya or Lisa.

Question

Calculate the z-score for each set of data.  Determine who did better on her respective test, Tonya or Lisa.
    Student 	English Test Grade 	z-Score 	Student 	Math Test Grade 	z-Score
    John 	82 	  	Jim 	81 	 
    Julie 	88 	  	Jordan 	85 	 
    Samuel 	90 	  	Saye 	79 	 
    Tonya 	86 	  	Lisa 	82 	 
    Mean 	86.50 	  	81.75 	 
    St. Dev. 	3.42 	2.50
    Given the above information, predict the raw score for a student whose z-score in the Math test is .98.

PsyDAG · Answer

Didn't I answer this for you previously?

Z = (score-mean)/SD

Compare the Z scores for Tonya and Lisa.

For second question, substitute .98 for the Z score and solve for the raw score. (Are you sure that .98 = Z score and not a proportion of the scores? If so, find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion (.98) and its corresponding Z score. Again, use the equation above.

bfdbdfb · Answer

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