Question

1. (4 pts, 2 pts each) The following are the means and standard deviations of some well-known standardized tests, referred to as Test A, Test B, and Test C. All three yield normal distributions.

Test	Mean	Standard Deviation
Test A	500	100
Test B	150	8
Test C	70	15

a. (2 pts) A score of 450 on Test A corresponds to what score on Test B?

b. (2 pts) A score of 625 on Test A corresponds to what score on Test C?

Answer 1

given that, Mean SD Test resta MAR 560 Test-B GA=100 EB=8 Gc=15 150 Test-e د بلو 70 assume 911 three test follows normal distribution A let x be the score of a test and hence score of 450 on Test A then its z- value is, ZA= XA-ela 450-500 100 "ZA= -0.5 corresponding score on Test B when, score of 450 on test A, is equivalent to Z score is -0.5 as; 21.99 ZBI ZA = - Br5 =-0.5 | Xo - MB GB XB-150 -0.5 --- XB-150=-4 HB = 145 tett be the Score of a test SC60e 625 shows of on test A and hence. A the zvalue asi

ZA= XA-MA GA 625-500 160 => ZA = 1.25 2 slove of 625 The correspondig sure on on Test A is equivalent Testrit when, A to z score is 1.25. 20= ZA 1,25 =) Xo- elc Bo 1:25 E- 70 1.25 Prograd =) Xo = 1.25 IS +70 Xo = 88.75 T