The mean for statistics test scores is 62 and the standard deviation is 6.0. For

Question

The mean for statistics test scores is 62 and the standard deviation is 6.0. For the biology test scores, the mean is 25 and the standard deviation is 3.8. The test scores of a student who took both tests are given below. A student gets a 78 on the statistics test and a 29 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 The scores on both tests are the same. O On the biology test the student had a better score

Explanation / Answer

(a) The z-score of statistic test score is = (78 - 62)/6 = 2.6667.

(Ans).

The z-score of biology test score = (29 - 25)/3.8 = 1.0526.

(Ans).

(b) Since the z-score of statistics is higher, on the statistics

test, the student had a better score. (Ans).

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