The mean for statistics test scores is 63 and the standard deviation is 7.0. For

Question

The mean for statistics test scores is 63 and the standard deviation is 7.0. For the biology test scores, the mean is 22 and the standard deviation is 3.8. The test scores of a student who took both tests are given below. A student gets a 79 on the statistics test and a 27 on the biology test. (a) Transform each test score to a z-score (b) Determine on which test the student had a better score (a) Transform the statistics test score to a z-score (Type an integer or decimal rounded to the nearest hundredth as needed.) Transform the biology test score to a z-score (Type an integer or decimal rounded to the nearest hundredth as needed.) (b) Determine on which test the student had a better score. Choose the correct answer below O On the statistics test the student had a better score. O On the biology test the student had a better score.

Explanation / Answer

Z-Score = X - Mean / Standard deviation

a)

For statistics test,

Z = 79 - 63 / 7

= 2.29

For Biology test,

Z = 27 - 22 / 3.8

= 1.32

b)

Z-score for statistics test is better than z-score for the biology test.

On the statistics test the student had a better score.

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