An incoming MBA student took placement exams in economics and mathematics. In economics, she scored 85 and in math 89. The over
all results on the economics exam had a mean of 75 and a standard deviation of 8, while the mean math score was 68, with a standard deviation of 10. On which exam did she do better compared with the other students?Since she scored ___________ standard deviations ___________ the mean in economics and ___________ standard deviations _________ the mea in mathematics, she did better on the _________ exam.(Round to two decimal places as needed.)
She did better on the math exam compared with the other students
Step-by-step explanation:
Hi!
We to calculate how many standard deviations from the mean she scored we need to use the following formulae:
(score - mean)/std
for economics:
(85 - 75)/8 = 10/8 = 1.25
for math:
(89 - 68)/10 = 21/20 = 2.1
Since she scored <em><u>1.25</u></em> standard deviations <em><u>higher than</u></em> the mean in economics and <u><em>2.1</em></u> standard deviations <u><em>higher than</em></u> the mean in mathematics, she did better on the <u><em>MATH</em></u> exam