SOLUTION: Jacob scores 16 on the ACT. Emily scores 670 on the SAT. The ACT scores for more
than 1 million students in the same class were roughly normal with mean of 20.8
and
Algebra ->
Probability-and-statistics
-> SOLUTION: Jacob scores 16 on the ACT. Emily scores 670 on the SAT. The ACT scores for more
than 1 million students in the same class were roughly normal with mean of 20.8
and
Log On
Question 1064645: Jacob scores 16 on the ACT. Emily scores 670 on the SAT. The ACT scores for more
than 1 million students in the same class were roughly normal with mean of 20.8
and standard deviation of 4.8. The SAT scores for 1.4 million students in a recent
graduating class were roughly normal with a mean of 1026 and standard deviation of
209.
(a) Compute the z-scores for Jacob and Emily.
(b) Sketch the two standardized normal curves for Jacob and Emily.
(c) Assuming that both tests measure scholastic aptitude, who has the higher score?
Sketch a standardized normal curve that indicates your solution.
You can put this solution on YOUR website! Jacob scores 16 on the ACT. Emily scores 670 on the SAT.
The ACT scores for morethan 1 million students in the same class were roughlynormal with mean of 20.8 and standard deviation of 4.8.
The SAT scores for 1.4 million students in a recent
graduating class were roughly normal with a mean of 1026
and standard deviation of 209.
(a) Compute the z-scores for Jacob and Emily.
Jacob:: z(16) = (16-20.8)/4.8 = -1
Emily:: z(670) = (670-1026)/209 = -1.7033
(b) Sketch the two standardized normal curves for Jacob and Emily.
(c) Assuming that both tests measure scholastic aptitude, who has the higher score?
Ans:: -1 > -1.7033 ; Jacob
----------------------------------
Sketch a standardized normal curve that indicates your solution.
-----
Cheers,
Stan H.
---------------
(