Question

Two standardized tests, test A and test B, use very different scales. Assume that in one year the distribution of scores on test A can be modeled by N(1300,250) and scores on test B can be modeled by N(15, 3). If an applicant to a university has taken test A and scored 1670 and another student has taken test B and scored 19, compare these students' scores using z-values. Which one has a higher relative score? Explain. The Z-value of the test A score is ZA = |- (Round to two decimal places as needed.) The z-value of the test B score is ze = (Round to two decimal places as needed.) Choose the correct answer below. O A. The test A score is the higher relative score because it is higher than the score on test B. O B. The test B score is the higher relative score because it is farther above the mean in standard deviation units than the test A score. O C. The test A score is the higher relative score because it is farther above the mean in standard deviation units than the test B score. OD. The test B score is the higher relative score because it is higher than the score on test A.

Answer 1

Answer)

Test A

Mean = 1300, s.d = 250

Test B

Mean = 15, s.d = 3

Z = (x -mean)/s.d

For test A

X = 1670

Za = (1670 - 1300)/250 = 1.48

For test B x = 19

Zb = (19-15)/3 = 1.33

Greater the z score better the performance

As the z score of A is higher than z score for b

Option C is your answer