Posted by Peter on .
Maria and Zoe are taking Biology 105 but are in different classes. Maria's class has an average of 78% with a standard deviation of 5% on the midterm, whereas Zoe's class has an average of 83% with a standard deviation of 12%. Assume that scores in both classes follow a normal distribution.
A. Convert Maria's midterm score of 84 to a standard z score.
which is correct?
B Convert Zoe's midterm score of 89 to a standard z score.
C. Who did better relative to her class?
c. They performed the same.
e. Cannot determine
AP Stats -
I will do the Maria part, then you do the rest
Mean = 78
score = 84
score above mean = 84 - 78 = 6
sigma = 5
6/5 = 1.2 standard deviations above mean