Leslie took two midterm exams and earned the following scores: 82 on the chemistry exam

(class distribution: μ = 75, σ = 6.25) and 63 on the physics exam (class distribution: μ = 59,
σ = 3.57). Rounding to two decimal points, on which exam should Leslie get the higher
grade?
a. Chemistry
b. Physics
c. The two exam scores are equivalent.
d. Cannot answer without additional information

z-score for chemistry = (82-75)/6.25 = 1.12

z-score for physics = (63-59)/3.57 = 1.12044

I would consider the difference insignificant, so the two scores would be equivalent.

To determine on which exam Leslie should get the higher grade, we need to compare the scores in relation to their respective class distributions.

For chemistry:
Mean (μ) = 75
Standard Deviation (σ) = 6.25
Score = 82

To compare the chemistry score to the class distribution, we need to calculate the z-score. The z-score measures how many standard deviations a data point is away from the mean. It can be calculated using the formula:

z = (x - μ) / σ

where x is the score, μ is the mean, and σ is the standard deviation.

z_chemistry = (82 - 75) / 6.25
z_chemistry = 1.12

For physics:
Mean (μ) = 59
Standard Deviation (σ) = 3.57
Score = 63

Similarly, we calculate the z-score for the physics score:

z_physics = (63 - 59) / 3.57
z_physics = 1.12

Both z-scores for chemistry and physics are the same at 1.12, indicating that Leslie's score in both exams is at the same relative position within their respective class distributions.

Therefore, the correct answer is:

c. The two exam scores are equivalent.