W to 2nd power equals 16
2 answers:
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Answer:
(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.