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For one test\'s distribution (mean=500, Standard deviation=108) and another test

ID: 3248654 • Letter: F

Question

For one test's distribution (mean=500, Standard deviation=108) and another tests distribution (mean= 24, standard deviation= 4) which score is relatively higher, a score of 674 on the first test or a score of 21 on the second test? Explain.

A. The first score is relatively higher than the the second score because the z-score of the score on the first test is greater than the z-score on the second test.

B.the test score is equally high because the z score of the score on the first is equal to the z score of the score on the second test

C.The second score is Relatively higher than the first score because the z score of the score on the first test is less than the z score of the score on the second test

D. The first score is relatively higher than the second score because the z score of the score on the first test is equal to the z score of the score on the second test

Explanation / Answer

Z score = (Score - mean)/standard deviation

Z score for first test = (674 - 500)/108 = 1.61

Z score for second test = (21 - 24)/4 = -0.75

A. The first score is relatively higher than the the second score because the z-score of the score on the first test is greater than the z-score on the second test