Question

An incoming MBA student took placement exams in economics and mathematics. In​ economics, she scored 85 and in math 89. The overall 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.)

Answer 1

Answer:

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 1.25 standard deviations higher than the mean in economics and 2.1 standard deviations higher than the mean in mathematics, she did better on the MATH exam

Answer 2

The incoming MBA student did better in the Math exam compared with the other students.

Since she scored 1.25 standard deviations higher than the mean in economics and 2.1 standard deviations higher than the mean in mathematics, she did better on the Mathematics exam

To determine how many standard deviations she scored from the mean in each subject: we have;

• = (Score - Mean)/Standard deviation

For economics;

• = (85 - 75)/8 = 10/8 = 1.25 sd.

For Mathematics:

• = (89 - 68)/10 = 21/10 = 2.1 sd.

In essence, she scored 1.25 standard deviations above the mean in Economics and 2.1 standard deviations above the mean in Mathematics.

Consequently, she did better in Mathematics compared to other students.

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