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
This question was answered after it was reposted later
Maria's Z-score was 1.2
Zoe's Z-score was .5
Since a Z-score of .5 is closer to 0 (the mean) it means she scored higher than Zoe.
2 reasons behind it... the class avg was higher in Zoe's class, plus the standard deviation was more than double (it was 12 vs Maria's 5)