On this semesters final exam, john scored 72 on his calculus exam, (class distribution (u=65, \?=3.57)\)
) and 53 on his statistics exam (class distribution :u=49, ?=2.04. Which exam should he get the better grade.
z1=72-65/3.57=1.960
Z2=53-49/3.57=1.120
To determine which exam John got the better grade in, we need to compare the z-scores he obtained for each exam.
The formula to calculate the z-score is: (x - μ) / σ
For the calculus exam:
x = 72
μ = 65
σ = 3.57
Using the formula, we can calculate the z-score for the calculus exam:
z1 = (72 - 65) / 3.57 = 1.960
For the statistics exam:
x = 53
μ = 49
σ = 2.04
Using the formula, we can calculate the z-score for the statistics exam:
z2 = (53 - 49) / 2.04 = 1.960
Comparing the z-scores, we can see that both exams have the same z-score of 1.960. Therefore, John got the same grade in both exams.