Question

Last week Sarah had exams in math and in Spanish. On the math exam, the mean was mu = 40 with sigma = 5, and Sarah had a score of X = 45. On the Spanish exam, the mean was mu = 60 with sigma = 8, and Sarah had a score of X = 68. For which class should Sara expect the better grade? Group of answer choices Math Spanish The grades should be the same because the two exam scores are in the same location. There is not enough information to determine which is the better grade.

Answer 1

The grades should be the same because the two exam scores are in the same location

Explanation:

A class with a higher z-score shows a better grade.

Z- score for Math exam

Mean=μ=40

Standard deviation=σ=5

Observed value=X=45

Z-score=(X-μ)/σ

Z-score=(45-40)/5

Z-score=5/5

Z-score=1

Z- score for Spanish exam

Mean=μ=60

Standard deviation=σ=8

Observed value=X=68

Z-score=(X-μ)/σ

Z-score=(68-60)/8

Z-score=8/8

Z-score=1

As, the z-score for both exams are same so, grades should be same.