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

Required:
a. A score of 450 on Test A corresponds to what score on Test B?
b. A score of 625 on Test A corresponds to what score on Test C?

(a) A score of 450 on Test A corresponds to a score of 146 on Test B.

(b) A score of 625 on Test A corresponds to a score of 88.75 on Test C.

Step-by-step explanation:

We are given 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

So, = 500 and = 100

= 150 and = 8

= 70 and = 15

(a) We have to find a score of 450 on Test A corresponds to what score on Test B.

For this, firstly we will find the z-score for a score on Test A and then equate with that of Test B.

      z-score of 450 on test A =

                                                = = -0.5

So, this z-score corresponds to the score on test B, i.e;

       z-score on test B =

                          -0.5    =

                                 = 150 - 4 = 146

Hence, a score of 450 on Test A corresponds to a score of 146 on Test B.

(b) We have to find a score of 625 on Test A corresponds to what score on Test C.

For this, firstly we will find the z-score for a score on Test A and then equate with that of Test C.

      z-score of 625 on test A =

                                                = = 1.25

So, this z-score corresponds to the score on test C, i.e;

       z-score on test C =

                          1.25    =

                                 = 70 + 18.75 = 88.75

Hence, a score of 625 on Test A corresponds to a score of 88.75 on Test C.

number one is the correct answer

step-by-step explanation: dogs and cats are mentioned, no other animals

14

step-by-step explanation:

14 x 3 = 42