Homework: Homework 2 (Read 2.2 to 2.5) Save HW Score: 79 91 %, 39 95 of 50 pts Q

Question

Homework: Homework 2 (Read 2.2 to 2.5) Save HW Score: 79 91 %, 39 95 of 50 pts Question Help * adad deviation s 70 Fo the biology test scores. t mean 25 adth standad evin3 The test cores Score: 0 of 1 pt 49 of 50 (44 complete) 2.5.41 The mean for statistics test scores is 65 and the standard of a student who took both tests are given below A student gets a 71 on the statistics test and a 26 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.)

Explanation / Answer

Given:- let z=(x-mu) / sigma

Statistics -

Mean (mu) = 65 and standard deviation (sigma) = 7.0

and x= 71 . We have to find z score,

z= (71-65) / 7.0 = 6 / 7

z= 0.86

Biology-

Mean( mu) = 25 , standard deviation (sigma) =3.7

and x=26

Therefore,

z= ( 26-25) / 3.7 = 1/3.7

z= 0.28

(b) Statistics z score is better than Biology z score.

Because z score of Statistics is greater than z score of Biology.

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