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Suppose the scores on an amplitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on the knowledge test or normally distributed with a mean of 70 and a standard deviation of 2.4. Felix scored 106 on the amplitude test and 75 on the knowledge test. Which statement best describes Felix’s scores on the two test comparatively?

Felix’s   Z score  on the amplitude test was 1.30. His z score on the knowledge test was 2.08. Felix performed better on the amplitude test, comparatively.

Felix’s Z score on the amplitude test was 1.30. His Z score on the knowledge test was 2.08. Felix performed  better on the knowledge test, comparatively.

Felix’s Z score  on the amplitude test was -1.30. His z score on the knowledge test was - 2.08. Felix performed better on the knowledge test, comparatively

Felix’s z score on the amplitude test was -1.30, his z score on the knowledge test was -2.08.  Felix performed better on the amplitude test, comparatively

Apr 10, 2019

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[ 106 -  100]                6

__________  =        ____  =    1.3

4.6                       4.6

[ 75 - 70 ]                   5

________    =          ___  =    2.08

2.4                      2.4

So

Felix’s Z score on the amplitude test was 1.30. His Z score on the knowledge test was 2.08. Felix performed  better on the knowledge test, comparatively.

BTW.....I think it is "aptitude", not "amplitude"

Apr 10, 2019